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Finding the Third Proportional to 142,531.31 and 307,153.69

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Solution

The third proportional to 142,531.31 and 307,153.69 is: 661,913.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,531.31 : 307,153.69 = 307,153.69 : x
  2. Step 2: Convert to fraction form
    142,531.31/307,153.69 = 307,153.69/x
  3. Step 3: Cross multiply
    142,531.31x = 307,153.69 × 307,153.69
  4. Step 4: Simplify right side
    142,531.31x = 94,343,387,744.85
  5. Step 5: Solve for x
    x = 94,343,387,744.85/142,531.31
  6. Step 6: Final answer
    x = 661,913.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.