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Finding the Third Proportional to 158,292 and 337,176

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Solution

The third proportional to 158,292 and 337,176 is: 718,214.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,292 : 337,176 = 337,176 : x
  2. Step 2: Convert to fraction form
    158,292/337,176 = 337,176/x
  3. Step 3: Cross multiply
    158,292x = 337,176 × 337,176
  4. Step 4: Simplify right side
    158,292x = 113,687,654,976
  5. Step 5: Solve for x
    x = 113,687,654,976/158,292
  6. Step 6: Final answer
    x = 718,214.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.