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Finding the Third Proportional to 110,366 and 238,217

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Solution

The third proportional to 110,366 and 238,217 is: 514,174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,366 : 238,217 = 238,217 : x
  2. Step 2: Convert to fraction form
    110,366/238,217 = 238,217/x
  3. Step 3: Cross multiply
    110,366x = 238,217 × 238,217
  4. Step 4: Simplify right side
    110,366x = 56,747,339,089
  5. Step 5: Solve for x
    x = 56,747,339,089/110,366
  6. Step 6: Final answer
    x = 514,174.10

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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.