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Finding the Third Proportional to 186,732 and 284,418

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Solution

The third proportional to 186,732 and 284,418 is: 433,206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,732 : 284,418 = 284,418 : x
  2. Step 2: Convert to fraction form
    186,732/284,418 = 284,418/x
  3. Step 3: Cross multiply
    186,732x = 284,418 × 284,418
  4. Step 4: Simplify right side
    186,732x = 80,893,598,724
  5. Step 5: Solve for x
    x = 80,893,598,724/186,732
  6. Step 6: Final answer
    x = 433,206.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.