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Finding the Third Proportional to 110,542 and 238,696

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Solution

The third proportional to 110,542 and 238,696 is: 515,422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,542 : 238,696 = 238,696 : x
  2. Step 2: Convert to fraction form
    110,542/238,696 = 238,696/x
  3. Step 3: Cross multiply
    110,542x = 238,696 × 238,696
  4. Step 4: Simplify right side
    110,542x = 56,975,780,416
  5. Step 5: Solve for x
    x = 56,975,780,416/110,542
  6. Step 6: Final answer
    x = 515,422.02

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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.