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Finding the Third Proportional to 165,792 and 254,979

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Solution

The third proportional to 165,792 and 254,979 is: 392,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,792 : 254,979 = 254,979 : x
  2. Step 2: Convert to fraction form
    165,792/254,979 = 254,979/x
  3. Step 3: Cross multiply
    165,792x = 254,979 × 254,979
  4. Step 4: Simplify right side
    165,792x = 65,014,290,441
  5. Step 5: Solve for x
    x = 65,014,290,441/165,792
  6. Step 6: Final answer
    x = 392,143.71

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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.