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Finding the Third Proportional to 113,840 and 247,745

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Solution

The third proportional to 113,840 and 247,745 is: 539,156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,840 : 247,745 = 247,745 : x
  2. Step 2: Convert to fraction form
    113,840/247,745 = 247,745/x
  3. Step 3: Cross multiply
    113,840x = 247,745 × 247,745
  4. Step 4: Simplify right side
    113,840x = 61,377,585,025
  5. Step 5: Solve for x
    x = 61,377,585,025/113,840
  6. Step 6: Final answer
    x = 539,156.58

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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.