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Finding the Third Proportional to 186,802 and 279,543

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Solution

The third proportional to 186,802 and 279,543 is: 418,326.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,802 : 279,543 = 279,543 : x
  2. Step 2: Convert to fraction form
    186,802/279,543 = 279,543/x
  3. Step 3: Cross multiply
    186,802x = 279,543 × 279,543
  4. Step 4: Simplify right side
    186,802x = 78,144,288,849
  5. Step 5: Solve for x
    x = 78,144,288,849/186,802
  6. Step 6: Final answer
    x = 418,326.83

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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.