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Finding the Third Proportional to 255,700.13 and 383,550.19

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Solution

The third proportional to 255,700.13 and 383,550.19 is: 575,325.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,700.13 : 383,550.19 = 383,550.19 : x
  2. Step 2: Convert to fraction form
    255,700.13/383,550.19 = 383,550.19/x
  3. Step 3: Cross multiply
    255,700.13x = 383,550.19 × 383,550.19
  4. Step 4: Simplify right side
    255,700.13x = 147,110,746,331.29
  5. Step 5: Solve for x
    x = 147,110,746,331.29/255,700.13
  6. Step 6: Final answer
    x = 575,325.28

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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.