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Finding the Third Proportional to 186,734 and 284,421

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Solution

The third proportional to 186,734 and 284,421 is: 433,211.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,734 : 284,421 = 284,421 : x
  2. Step 2: Convert to fraction form
    186,734/284,421 = 284,421/x
  3. Step 3: Cross multiply
    186,734x = 284,421 × 284,421
  4. Step 4: Simplify right side
    186,734x = 80,895,305,241
  5. Step 5: Solve for x
    x = 80,895,305,241/186,734
  6. Step 6: Final answer
    x = 433,211.44

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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.