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Finding the Third Proportional to 253,692 and 541,161

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Solution

The third proportional to 253,692 and 541,161 is: 1,154,373.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,692 : 541,161 = 541,161 : x
  2. Step 2: Convert to fraction form
    253,692/541,161 = 541,161/x
  3. Step 3: Cross multiply
    253,692x = 541,161 × 541,161
  4. Step 4: Simplify right side
    253,692x = 292,855,227,921
  5. Step 5: Solve for x
    x = 292,855,227,921/253,692
  6. Step 6: Final answer
    x = 1,154,373.13

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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.