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Finding the Third Proportional to 240,958.13 and 316,689.75

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Solution

The third proportional to 240,958.13 and 316,689.75 is: 416,223.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,958.13 : 316,689.75 = 316,689.75 : x
  2. Step 2: Convert to fraction form
    240,958.13/316,689.75 = 316,689.75/x
  3. Step 3: Cross multiply
    240,958.13x = 316,689.75 × 316,689.75
  4. Step 4: Simplify right side
    240,958.13x = 100,292,397,755.06
  5. Step 5: Solve for x
    x = 100,292,397,755.06/240,958.13
  6. Step 6: Final answer
    x = 416,223.35

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.