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Finding the Third Proportional to 165,950 and 255,231

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Solution

The third proportional to 165,950 and 255,231 is: 392,545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,950 : 255,231 = 255,231 : x
  2. Step 2: Convert to fraction form
    165,950/255,231 = 255,231/x
  3. Step 3: Cross multiply
    165,950x = 255,231 × 255,231
  4. Step 4: Simplify right side
    165,950x = 65,142,863,361
  5. Step 5: Solve for x
    x = 65,142,863,361/165,950
  6. Step 6: Final answer
    x = 392,545.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.