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Finding the Third Proportional to 110,374 and 238,412

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Solution

The third proportional to 110,374 and 238,412 is: 514,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,374 : 238,412 = 238,412 : x
  2. Step 2: Convert to fraction form
    110,374/238,412 = 238,412/x
  3. Step 3: Cross multiply
    110,374x = 238,412 × 238,412
  4. Step 4: Simplify right side
    110,374x = 56,840,281,744
  5. Step 5: Solve for x
    x = 56,840,281,744/110,374
  6. Step 6: Final answer
    x = 514,978.91

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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.