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Finding the Third Proportional to 255,713 and 383,569.50

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Solution

The third proportional to 255,713 and 383,569.50 is: 575,354.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,713 : 383,569.50 = 383,569.50 : x
  2. Step 2: Convert to fraction form
    255,713/383,569.50 = 383,569.50/x
  3. Step 3: Cross multiply
    255,713x = 383,569.50 × 383,569.50
  4. Step 4: Simplify right side
    255,713x = 147,125,561,330.25
  5. Step 5: Solve for x
    x = 147,125,561,330.25/255,713
  6. Step 6: Final answer
    x = 575,354.25

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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.