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Finding the Third Proportional to 255,802.50 and 383,703.75

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Solution

The third proportional to 255,802.50 and 383,703.75 is: 575,555.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,802.50 : 383,703.75 = 383,703.75 : x
  2. Step 2: Convert to fraction form
    255,802.50/383,703.75 = 383,703.75/x
  3. Step 3: Cross multiply
    255,802.50x = 383,703.75 × 383,703.75
  4. Step 4: Simplify right side
    255,802.50x = 147,228,567,764.06
  5. Step 5: Solve for x
    x = 147,228,567,764.06/255,802.50
  6. Step 6: Final answer
    x = 575,555.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.