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Finding the Third Proportional to 169,085 and 253,092

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Solution

The third proportional to 169,085 and 253,092 is: 378,836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,085 : 253,092 = 253,092 : x
  2. Step 2: Convert to fraction form
    169,085/253,092 = 253,092/x
  3. Step 3: Cross multiply
    169,085x = 253,092 × 253,092
  4. Step 4: Simplify right side
    169,085x = 64,055,560,464
  5. Step 5: Solve for x
    x = 64,055,560,464/169,085
  6. Step 6: Final answer
    x = 378,836.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.