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Finding the Third Proportional to 172,976 and 259,464

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Solution

The third proportional to 172,976 and 259,464 is: 389,196

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,976 : 259,464 = 259,464 : x
  2. Step 2: Convert to fraction form
    172,976/259,464 = 259,464/x
  3. Step 3: Cross multiply
    172,976x = 259,464 × 259,464
  4. Step 4: Simplify right side
    172,976x = 67,321,567,296
  5. Step 5: Solve for x
    x = 67,321,567,296/172,976
  6. Step 6: Final answer
    x = 389,196

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.