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Finding the Third Proportional to 162,471 and 337,941

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Solution

The third proportional to 162,471 and 337,941 is: 702,920.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,471 : 337,941 = 337,941 : x
  2. Step 2: Convert to fraction form
    162,471/337,941 = 337,941/x
  3. Step 3: Cross multiply
    162,471x = 337,941 × 337,941
  4. Step 4: Simplify right side
    162,471x = 114,204,119,481
  5. Step 5: Solve for x
    x = 114,204,119,481/162,471
  6. Step 6: Final answer
    x = 702,920.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.