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Finding the Third Proportional to 240,931 and 352,755

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Solution

The third proportional to 240,931 and 352,755 is: 516,480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,931 : 352,755 = 352,755 : x
  2. Step 2: Convert to fraction form
    240,931/352,755 = 352,755/x
  3. Step 3: Cross multiply
    240,931x = 352,755 × 352,755
  4. Step 4: Simplify right side
    240,931x = 124,436,090,025
  5. Step 5: Solve for x
    x = 124,436,090,025/240,931
  6. Step 6: Final answer
    x = 516,480.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.