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Finding the Third Proportional to 185,920 and 284,460

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Solution

The third proportional to 185,920 and 284,460 is: 435,227.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,920 : 284,460 = 284,460 : x
  2. Step 2: Convert to fraction form
    185,920/284,460 = 284,460/x
  3. Step 3: Cross multiply
    185,920x = 284,460 × 284,460
  4. Step 4: Simplify right side
    185,920x = 80,917,491,600
  5. Step 5: Solve for x
    x = 80,917,491,600/185,920
  6. Step 6: Final answer
    x = 435,227.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.