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Finding the Third Proportional to 165,782 and 254,966

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Solution

The third proportional to 165,782 and 254,966 is: 392,127.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,782 : 254,966 = 254,966 : x
  2. Step 2: Convert to fraction form
    165,782/254,966 = 254,966/x
  3. Step 3: Cross multiply
    165,782x = 254,966 × 254,966
  4. Step 4: Simplify right side
    165,782x = 65,007,661,156
  5. Step 5: Solve for x
    x = 65,007,661,156/165,782
  6. Step 6: Final answer
    x = 392,127.38

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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.