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Finding the Third Proportional to 157,544 and 239,226

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Solution

The third proportional to 157,544 and 239,226 is: 363,257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,544 : 239,226 = 239,226 : x
  2. Step 2: Convert to fraction form
    157,544/239,226 = 239,226/x
  3. Step 3: Cross multiply
    157,544x = 239,226 × 239,226
  4. Step 4: Simplify right side
    157,544x = 57,229,079,076
  5. Step 5: Solve for x
    x = 57,229,079,076/157,544
  6. Step 6: Final answer
    x = 363,257.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.