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Finding the Third Proportional to 171,032 and 268,295

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Solution

The third proportional to 171,032 and 268,295 is: 420,869.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,032 : 268,295 = 268,295 : x
  2. Step 2: Convert to fraction form
    171,032/268,295 = 268,295/x
  3. Step 3: Cross multiply
    171,032x = 268,295 × 268,295
  4. Step 4: Simplify right side
    171,032x = 71,982,207,025
  5. Step 5: Solve for x
    x = 71,982,207,025/171,032
  6. Step 6: Final answer
    x = 420,869.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.