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Finding the Third Proportional to 157,934 and 350,860

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Solution

The third proportional to 157,934 and 350,860 is: 779,456.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,934 : 350,860 = 350,860 : x
  2. Step 2: Convert to fraction form
    157,934/350,860 = 350,860/x
  3. Step 3: Cross multiply
    157,934x = 350,860 × 350,860
  4. Step 4: Simplify right side
    157,934x = 123,102,739,600
  5. Step 5: Solve for x
    x = 123,102,739,600/157,934
  6. Step 6: Final answer
    x = 779,456.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.