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Finding the Third Proportional to 226,132.25 and 351,647.38

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Solution

The third proportional to 226,132.25 and 351,647.38 is: 546,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,132.25 : 351,647.38 = 351,647.38 : x
  2. Step 2: Convert to fraction form
    226,132.25/351,647.38 = 351,647.38/x
  3. Step 3: Cross multiply
    226,132.25x = 351,647.38 × 351,647.38
  4. Step 4: Simplify right side
    226,132.25x = 123,655,876,344.39
  5. Step 5: Solve for x
    x = 123,655,876,344.39/226,132.25
  6. Step 6: Final answer
    x = 546,829.90

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.