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Finding the Third Proportional to 83,502 and 178,674

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Solution

The third proportional to 83,502 and 178,674 is: 382,318.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,502 : 178,674 = 178,674 : x
  2. Step 2: Convert to fraction form
    83,502/178,674 = 178,674/x
  3. Step 3: Cross multiply
    83,502x = 178,674 × 178,674
  4. Step 4: Simplify right side
    83,502x = 31,924,398,276
  5. Step 5: Solve for x
    x = 31,924,398,276/83,502
  6. Step 6: Final answer
    x = 382,318.97

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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.