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Finding the Third Proportional to 113,424 and 244,566

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Solution

The third proportional to 113,424 and 244,566 is: 527,335.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,424 : 244,566 = 244,566 : x
  2. Step 2: Convert to fraction form
    113,424/244,566 = 244,566/x
  3. Step 3: Cross multiply
    113,424x = 244,566 × 244,566
  4. Step 4: Simplify right side
    113,424x = 59,812,528,356
  5. Step 5: Solve for x
    x = 59,812,528,356/113,424
  6. Step 6: Final answer
    x = 527,335.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.