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Finding the Third Proportional to 82,446 and 176,574

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Solution

The third proportional to 82,446 and 176,574 is: 378,167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,446 : 176,574 = 176,574 : x
  2. Step 2: Convert to fraction form
    82,446/176,574 = 176,574/x
  3. Step 3: Cross multiply
    82,446x = 176,574 × 176,574
  4. Step 4: Simplify right side
    82,446x = 31,178,377,476
  5. Step 5: Solve for x
    x = 31,178,377,476/82,446
  6. Step 6: Final answer
    x = 378,167.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.