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Finding the Third Proportional to 160,947 and 239,517

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Solution

The third proportional to 160,947 and 239,517 is: 356,442.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,947 : 239,517 = 239,517 : x
  2. Step 2: Convert to fraction form
    160,947/239,517 = 239,517/x
  3. Step 3: Cross multiply
    160,947x = 239,517 × 239,517
  4. Step 4: Simplify right side
    160,947x = 57,368,393,289
  5. Step 5: Solve for x
    x = 57,368,393,289/160,947
  6. Step 6: Final answer
    x = 356,442.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.