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Finding the Third Proportional to 110,379 and 238,397

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Solution

The third proportional to 110,379 and 238,397 is: 514,890.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,379 : 238,397 = 238,397 : x
  2. Step 2: Convert to fraction form
    110,379/238,397 = 238,397/x
  3. Step 3: Cross multiply
    110,379x = 238,397 × 238,397
  4. Step 4: Simplify right side
    110,379x = 56,833,129,609
  5. Step 5: Solve for x
    x = 56,833,129,609/110,379
  6. Step 6: Final answer
    x = 514,890.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.