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Finding the Third Proportional to 150,082 and 232,689

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Solution

The third proportional to 150,082 and 232,689 is: 360,763.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,082 : 232,689 = 232,689 : x
  2. Step 2: Convert to fraction form
    150,082/232,689 = 232,689/x
  3. Step 3: Cross multiply
    150,082x = 232,689 × 232,689
  4. Step 4: Simplify right side
    150,082x = 54,144,170,721
  5. Step 5: Solve for x
    x = 54,144,170,721/150,082
  6. Step 6: Final answer
    x = 360,763.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.