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Finding the Third Proportional to 186,813 and 268,542

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Solution

The third proportional to 186,813 and 268,542 is: 386,026.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,813 : 268,542 = 268,542 : x
  2. Step 2: Convert to fraction form
    186,813/268,542 = 268,542/x
  3. Step 3: Cross multiply
    186,813x = 268,542 × 268,542
  4. Step 4: Simplify right side
    186,813x = 72,114,805,764
  5. Step 5: Solve for x
    x = 72,114,805,764/186,813
  6. Step 6: Final answer
    x = 386,026.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.