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Finding the Third Proportional to 80,502 and 176,862

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Solution

The third proportional to 80,502 and 176,862 is: 388,563.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,502 : 176,862 = 176,862 : x
  2. Step 2: Convert to fraction form
    80,502/176,862 = 176,862/x
  3. Step 3: Cross multiply
    80,502x = 176,862 × 176,862
  4. Step 4: Simplify right side
    80,502x = 31,280,167,044
  5. Step 5: Solve for x
    x = 31,280,167,044/80,502
  6. Step 6: Final answer
    x = 388,563.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.