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Finding the Third Proportional to 150,018 and 232,191

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Solution

The third proportional to 150,018 and 232,191 is: 359,374.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,018 : 232,191 = 232,191 : x
  2. Step 2: Convert to fraction form
    150,018/232,191 = 232,191/x
  3. Step 3: Cross multiply
    150,018x = 232,191 × 232,191
  4. Step 4: Simplify right side
    150,018x = 53,912,660,481
  5. Step 5: Solve for x
    x = 53,912,660,481/150,018
  6. Step 6: Final answer
    x = 359,374.61

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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.