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Finding the Third Proportional to 172,022 and 260,625

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Solution

The third proportional to 172,022 and 260,625 is: 394,864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,022 : 260,625 = 260,625 : x
  2. Step 2: Convert to fraction form
    172,022/260,625 = 260,625/x
  3. Step 3: Cross multiply
    172,022x = 260,625 × 260,625
  4. Step 4: Simplify right side
    172,022x = 67,925,390,625
  5. Step 5: Solve for x
    x = 67,925,390,625/172,022
  6. Step 6: Final answer
    x = 394,864.56

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.