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Finding the Third Proportional to 172,082 and 260,713

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Solution

The third proportional to 172,082 and 260,713 is: 394,993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,082 : 260,713 = 260,713 : x
  2. Step 2: Convert to fraction form
    172,082/260,713 = 260,713/x
  3. Step 3: Cross multiply
    172,082x = 260,713 × 260,713
  4. Step 4: Simplify right side
    172,082x = 67,971,268,369
  5. Step 5: Solve for x
    x = 67,971,268,369/172,082
  6. Step 6: Final answer
    x = 394,993.48

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Why These Related Problems?

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