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Finding the Third Proportional to 140,402.25 and 302,947.31

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Solution

The third proportional to 140,402.25 and 302,947.31 is: 653,672.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,402.25 : 302,947.31 = 302,947.31 : x
  2. Step 2: Convert to fraction form
    140,402.25/302,947.31 = 302,947.31/x
  3. Step 3: Cross multiply
    140,402.25x = 302,947.31 × 302,947.31
  4. Step 4: Simplify right side
    140,402.25x = 91,777,074,150.97
  5. Step 5: Solve for x
    x = 91,777,074,150.97/140,402.25
  6. Step 6: Final answer
    x = 653,672.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.