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Finding the Third Proportional to 186,894 and 279,567

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Solution

The third proportional to 186,894 and 279,567 is: 418,192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,894 : 279,567 = 279,567 : x
  2. Step 2: Convert to fraction form
    186,894/279,567 = 279,567/x
  3. Step 3: Cross multiply
    186,894x = 279,567 × 279,567
  4. Step 4: Simplify right side
    186,894x = 78,157,707,489
  5. Step 5: Solve for x
    x = 78,157,707,489/186,894
  6. Step 6: Final answer
    x = 418,192.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.