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Finding the Third Proportional to 160,439 and 246,629

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Solution

The third proportional to 160,439 and 246,629 is: 379,121.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,439 : 246,629 = 246,629 : x
  2. Step 2: Convert to fraction form
    160,439/246,629 = 246,629/x
  3. Step 3: Cross multiply
    160,439x = 246,629 × 246,629
  4. Step 4: Simplify right side
    160,439x = 60,825,863,641
  5. Step 5: Solve for x
    x = 60,825,863,641/160,439
  6. Step 6: Final answer
    x = 379,121.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.