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Finding the Third Proportional to 172,901 and 354,367

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Solution

The third proportional to 172,901 and 354,367 is: 726,288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,901 : 354,367 = 354,367 : x
  2. Step 2: Convert to fraction form
    172,901/354,367 = 354,367/x
  3. Step 3: Cross multiply
    172,901x = 354,367 × 354,367
  4. Step 4: Simplify right side
    172,901x = 125,575,970,689
  5. Step 5: Solve for x
    x = 125,575,970,689/172,901
  6. Step 6: Final answer
    x = 726,288.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.