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Finding the Third Proportional to 234,079 and 353,186

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Solution

The third proportional to 234,079 and 353,186 is: 532,898.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,079 : 353,186 = 353,186 : x
  2. Step 2: Convert to fraction form
    234,079/353,186 = 353,186/x
  3. Step 3: Cross multiply
    234,079x = 353,186 × 353,186
  4. Step 4: Simplify right side
    234,079x = 124,740,350,596
  5. Step 5: Solve for x
    x = 124,740,350,596/234,079
  6. Step 6: Final answer
    x = 532,898.51

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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.