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Finding the Third Proportional to 159,982 and 350,092

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Solution

The third proportional to 159,982 and 350,092 is: 766,113.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,982 : 350,092 = 350,092 : x
  2. Step 2: Convert to fraction form
    159,982/350,092 = 350,092/x
  3. Step 3: Cross multiply
    159,982x = 350,092 × 350,092
  4. Step 4: Simplify right side
    159,982x = 122,564,408,464
  5. Step 5: Solve for x
    x = 122,564,408,464/159,982
  6. Step 6: Final answer
    x = 766,113.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.