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Finding the Third Proportional to 162,464 and 337,930

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Solution

The third proportional to 162,464 and 337,930 is: 702,904.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,464 : 337,930 = 337,930 : x
  2. Step 2: Convert to fraction form
    162,464/337,930 = 337,930/x
  3. Step 3: Cross multiply
    162,464x = 337,930 × 337,930
  4. Step 4: Simplify right side
    162,464x = 114,196,684,900
  5. Step 5: Solve for x
    x = 114,196,684,900/162,464
  6. Step 6: Final answer
    x = 702,904.55

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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.