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Finding the Third Proportional to 113,821.31 and 247,708.13

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Solution

The third proportional to 113,821.31 and 247,708.13 is: 539,084.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,821.31 : 247,708.13 = 247,708.13 : x
  2. Step 2: Convert to fraction form
    113,821.31/247,708.13 = 247,708.13/x
  3. Step 3: Cross multiply
    113,821.31x = 247,708.13 × 247,708.13
  4. Step 4: Simplify right side
    113,821.31x = 61,359,315,191.02
  5. Step 5: Solve for x
    x = 61,359,315,191.02/113,821.31
  6. Step 6: Final answer
    x = 539,084.59

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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.