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Finding the Third Proportional to 186,542 and 402,568

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Solution

The third proportional to 186,542 and 402,568 is: 868,764.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,542 : 402,568 = 402,568 : x
  2. Step 2: Convert to fraction form
    186,542/402,568 = 402,568/x
  3. Step 3: Cross multiply
    186,542x = 402,568 × 402,568
  4. Step 4: Simplify right side
    186,542x = 162,060,994,624
  5. Step 5: Solve for x
    x = 162,060,994,624/186,542
  6. Step 6: Final answer
    x = 868,764.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.