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Finding the Third Proportional to 150,114 and 231,663

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Solution

The third proportional to 150,114 and 231,663 is: 357,513.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,114 : 231,663 = 231,663 : x
  2. Step 2: Convert to fraction form
    150,114/231,663 = 231,663/x
  3. Step 3: Cross multiply
    150,114x = 231,663 × 231,663
  4. Step 4: Simplify right side
    150,114x = 53,667,745,569
  5. Step 5: Solve for x
    x = 53,667,745,569/150,114
  6. Step 6: Final answer
    x = 357,513.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.