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Finding the Third Proportional to 165,282 and 262,691

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Solution

The third proportional to 165,282 and 262,691 is: 417,508.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,282 : 262,691 = 262,691 : x
  2. Step 2: Convert to fraction form
    165,282/262,691 = 262,691/x
  3. Step 3: Cross multiply
    165,282x = 262,691 × 262,691
  4. Step 4: Simplify right side
    165,282x = 69,006,561,481
  5. Step 5: Solve for x
    x = 69,006,561,481/165,282
  6. Step 6: Final answer
    x = 417,508.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.