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Finding the Third Proportional to 113,364.56 and 247,141.13

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Solution

The third proportional to 113,364.56 and 247,141.13 is: 538,781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,364.56 : 247,141.13 = 247,141.13 : x
  2. Step 2: Convert to fraction form
    113,364.56/247,141.13 = 247,141.13/x
  3. Step 3: Cross multiply
    113,364.56x = 247,141.13 × 247,141.13
  4. Step 4: Simplify right side
    113,364.56x = 61,078,735,666.27
  5. Step 5: Solve for x
    x = 61,078,735,666.27/113,364.56
  6. Step 6: Final answer
    x = 538,781.56

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Why These Related Problems?

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