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Finding the Third Proportional to 150,198 and 232,487

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Solution

The third proportional to 150,198 and 232,487 is: 359,859.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,198 : 232,487 = 232,487 : x
  2. Step 2: Convert to fraction form
    150,198/232,487 = 232,487/x
  3. Step 3: Cross multiply
    150,198x = 232,487 × 232,487
  4. Step 4: Simplify right side
    150,198x = 54,050,205,169
  5. Step 5: Solve for x
    x = 54,050,205,169/150,198
  6. Step 6: Final answer
    x = 359,859.69

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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.