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Finding the Third Proportional to 165,927 and 255,186

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Solution

The third proportional to 165,927 and 255,186 is: 392,461.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,927 : 255,186 = 255,186 : x
  2. Step 2: Convert to fraction form
    165,927/255,186 = 255,186/x
  3. Step 3: Cross multiply
    165,927x = 255,186 × 255,186
  4. Step 4: Simplify right side
    165,927x = 65,119,894,596
  5. Step 5: Solve for x
    x = 65,119,894,596/165,927
  6. Step 6: Final answer
    x = 392,461.11

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