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Finding the Third Proportional to 174,082 and 276,675

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Solution

The third proportional to 174,082 and 276,675 is: 439,729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,082 : 276,675 = 276,675 : x
  2. Step 2: Convert to fraction form
    174,082/276,675 = 276,675/x
  3. Step 3: Cross multiply
    174,082x = 276,675 × 276,675
  4. Step 4: Simplify right side
    174,082x = 76,549,055,625
  5. Step 5: Solve for x
    x = 76,549,055,625/174,082
  6. Step 6: Final answer
    x = 439,729.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.