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Finding the Third Proportional to 253,694 and 541,165

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Solution

The third proportional to 253,694 and 541,165 is: 1,154,381.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,694 : 541,165 = 541,165 : x
  2. Step 2: Convert to fraction form
    253,694/541,165 = 541,165/x
  3. Step 3: Cross multiply
    253,694x = 541,165 × 541,165
  4. Step 4: Simplify right side
    253,694x = 292,859,557,225
  5. Step 5: Solve for x
    x = 292,859,557,225/253,694
  6. Step 6: Final answer
    x = 1,154,381.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.