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Finding the Third Proportional to 160,227 and 245,874

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Solution

The third proportional to 160,227 and 245,874 is: 377,302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,227 : 245,874 = 245,874 : x
  2. Step 2: Convert to fraction form
    160,227/245,874 = 245,874/x
  3. Step 3: Cross multiply
    160,227x = 245,874 × 245,874
  4. Step 4: Simplify right side
    160,227x = 60,454,023,876
  5. Step 5: Solve for x
    x = 60,454,023,876/160,227
  6. Step 6: Final answer
    x = 377,302.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.