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Finding the Third Proportional to 81,446 and 176,818

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Solution

The third proportional to 81,446 and 176,818 is: 383,869.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,446 : 176,818 = 176,818 : x
  2. Step 2: Convert to fraction form
    81,446/176,818 = 176,818/x
  3. Step 3: Cross multiply
    81,446x = 176,818 × 176,818
  4. Step 4: Simplify right side
    81,446x = 31,264,605,124
  5. Step 5: Solve for x
    x = 31,264,605,124/81,446
  6. Step 6: Final answer
    x = 383,869.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.