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Finding the Third Proportional to 162,466 and 337,934

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Solution

The third proportional to 162,466 and 337,934 is: 702,912.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,466 : 337,934 = 337,934 : x
  2. Step 2: Convert to fraction form
    162,466/337,934 = 337,934/x
  3. Step 3: Cross multiply
    162,466x = 337,934 × 337,934
  4. Step 4: Simplify right side
    162,466x = 114,199,388,356
  5. Step 5: Solve for x
    x = 114,199,388,356/162,466
  6. Step 6: Final answer
    x = 702,912.54

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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.