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Finding the Third Proportional to 155,279 and 235,249

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Solution

The third proportional to 155,279 and 235,249 is: 356,404.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,279 : 235,249 = 235,249 : x
  2. Step 2: Convert to fraction form
    155,279/235,249 = 235,249/x
  3. Step 3: Cross multiply
    155,279x = 235,249 × 235,249
  4. Step 4: Simplify right side
    155,279x = 55,342,092,001
  5. Step 5: Solve for x
    x = 55,342,092,001/155,279
  6. Step 6: Final answer
    x = 356,404.23

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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.