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Finding the Third Proportional to 102,881 and 224,470

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Solution

The third proportional to 102,881 and 224,470 is: 489,757.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,881 : 224,470 = 224,470 : x
  2. Step 2: Convert to fraction form
    102,881/224,470 = 224,470/x
  3. Step 3: Cross multiply
    102,881x = 224,470 × 224,470
  4. Step 4: Simplify right side
    102,881x = 50,386,780,900
  5. Step 5: Solve for x
    x = 50,386,780,900/102,881
  6. Step 6: Final answer
    x = 489,757.88

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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.