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Finding the Third Proportional to 84,674 and 186,060

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Solution

The third proportional to 84,674 and 186,060 is: 408,842.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,674 : 186,060 = 186,060 : x
  2. Step 2: Convert to fraction form
    84,674/186,060 = 186,060/x
  3. Step 3: Cross multiply
    84,674x = 186,060 × 186,060
  4. Step 4: Simplify right side
    84,674x = 34,618,323,600
  5. Step 5: Solve for x
    x = 34,618,323,600/84,674
  6. Step 6: Final answer
    x = 408,842.43

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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.