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Finding the Third Proportional to 110,442 and 238,371

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Solution

The third proportional to 110,442 and 238,371 is: 514,484.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,442 : 238,371 = 238,371 : x
  2. Step 2: Convert to fraction form
    110,442/238,371 = 238,371/x
  3. Step 3: Cross multiply
    110,442x = 238,371 × 238,371
  4. Step 4: Simplify right side
    110,442x = 56,820,733,641
  5. Step 5: Solve for x
    x = 56,820,733,641/110,442
  6. Step 6: Final answer
    x = 514,484.83

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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.