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Finding the Third Proportional to 110,340 and 238,170

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Solution

The third proportional to 110,340 and 238,170 is: 514,092.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,340 : 238,170 = 238,170 : x
  2. Step 2: Convert to fraction form
    110,340/238,170 = 238,170/x
  3. Step 3: Cross multiply
    110,340x = 238,170 × 238,170
  4. Step 4: Simplify right side
    110,340x = 56,724,948,900
  5. Step 5: Solve for x
    x = 56,724,948,900/110,340
  6. Step 6: Final answer
    x = 514,092.34

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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.