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Finding the Third Proportional to 169,570 and 269,923

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Solution

The third proportional to 169,570 and 269,923 is: 429,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,570 : 269,923 = 269,923 : x
  2. Step 2: Convert to fraction form
    169,570/269,923 = 269,923/x
  3. Step 3: Cross multiply
    169,570x = 269,923 × 269,923
  4. Step 4: Simplify right side
    169,570x = 72,858,425,929
  5. Step 5: Solve for x
    x = 72,858,425,929/169,570
  6. Step 6: Final answer
    x = 429,665.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.