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Finding the Third Proportional to 234,060 and 353,161

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Solution

The third proportional to 234,060 and 353,161 is: 532,866.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,060 : 353,161 = 353,161 : x
  2. Step 2: Convert to fraction form
    234,060/353,161 = 353,161/x
  3. Step 3: Cross multiply
    234,060x = 353,161 × 353,161
  4. Step 4: Simplify right side
    234,060x = 124,722,691,921
  5. Step 5: Solve for x
    x = 124,722,691,921/234,060
  6. Step 6: Final answer
    x = 532,866.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.