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Finding the Third Proportional to 169,092 and 253,176

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Solution

The third proportional to 169,092 and 253,176 is: 379,072.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,092 : 253,176 = 253,176 : x
  2. Step 2: Convert to fraction form
    169,092/253,176 = 253,176/x
  3. Step 3: Cross multiply
    169,092x = 253,176 × 253,176
  4. Step 4: Simplify right side
    169,092x = 64,098,086,976
  5. Step 5: Solve for x
    x = 64,098,086,976/169,092
  6. Step 6: Final answer
    x = 379,072.26

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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.