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Finding the Third Proportional to 113,743.13 and 247,552.31

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Solution

The third proportional to 113,743.13 and 247,552.31 is: 538,776.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,743.13 : 247,552.31 = 247,552.31 : x
  2. Step 2: Convert to fraction form
    113,743.13/247,552.31 = 247,552.31/x
  3. Step 3: Cross multiply
    113,743.13x = 247,552.31 × 247,552.31
  4. Step 4: Simplify right side
    113,743.13x = 61,282,147,424.10
  5. Step 5: Solve for x
    x = 61,282,147,424.10/113,743.13
  6. Step 6: Final answer
    x = 538,776.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.