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Finding the Third Proportional to 165,767 and 254,943

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Solution

The third proportional to 165,767 and 254,943 is: 392,092.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,767 : 254,943 = 254,943 : x
  2. Step 2: Convert to fraction form
    165,767/254,943 = 254,943/x
  3. Step 3: Cross multiply
    165,767x = 254,943 × 254,943
  4. Step 4: Simplify right side
    165,767x = 64,995,933,249
  5. Step 5: Solve for x
    x = 64,995,933,249/165,767
  6. Step 6: Final answer
    x = 392,092.11

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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.