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Finding the Third Proportional to 172,891 and 375,302

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Solution

The third proportional to 172,891 and 375,302 is: 814,684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,891 : 375,302 = 375,302 : x
  2. Step 2: Convert to fraction form
    172,891/375,302 = 375,302/x
  3. Step 3: Cross multiply
    172,891x = 375,302 × 375,302
  4. Step 4: Simplify right side
    172,891x = 140,851,591,204
  5. Step 5: Solve for x
    x = 140,851,591,204/172,891
  6. Step 6: Final answer
    x = 814,684.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.