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Finding the Third Proportional to 160,917 and 225,079

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Solution

The third proportional to 160,917 and 225,079 is: 314,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,917 : 225,079 = 225,079 : x
  2. Step 2: Convert to fraction form
    160,917/225,079 = 225,079/x
  3. Step 3: Cross multiply
    160,917x = 225,079 × 225,079
  4. Step 4: Simplify right side
    160,917x = 50,660,556,241
  5. Step 5: Solve for x
    x = 50,660,556,241/160,917
  6. Step 6: Final answer
    x = 314,824.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.