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Finding the Third Proportional to 207,149.63 and 319,882.31

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Solution

The third proportional to 207,149.63 and 319,882.31 is: 493,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,149.63 : 319,882.31 = 319,882.31 : x
  2. Step 2: Convert to fraction form
    207,149.63/319,882.31 = 319,882.31/x
  3. Step 3: Cross multiply
    207,149.63x = 319,882.31 × 319,882.31
  4. Step 4: Simplify right side
    207,149.63x = 102,324,693,850.35
  5. Step 5: Solve for x
    x = 102,324,693,850.35/207,149.63
  6. Step 6: Final answer
    x = 493,965.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.