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Finding the Third Proportional to 162,462 and 337,926

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Solution

The third proportional to 162,462 and 337,926 is: 702,896.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,462 : 337,926 = 337,926 : x
  2. Step 2: Convert to fraction form
    162,462/337,926 = 337,926/x
  3. Step 3: Cross multiply
    162,462x = 337,926 × 337,926
  4. Step 4: Simplify right side
    162,462x = 114,193,981,476
  5. Step 5: Solve for x
    x = 114,193,981,476/162,462
  6. Step 6: Final answer
    x = 702,896.56

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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.