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Finding the Third Proportional to 84,898 and 155,443

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Solution

The third proportional to 84,898 and 155,443 is: 284,606.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,898 : 155,443 = 155,443 : x
  2. Step 2: Convert to fraction form
    84,898/155,443 = 155,443/x
  3. Step 3: Cross multiply
    84,898x = 155,443 × 155,443
  4. Step 4: Simplify right side
    84,898x = 24,162,526,249
  5. Step 5: Solve for x
    x = 24,162,526,249/84,898
  6. Step 6: Final answer
    x = 284,606.54

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.