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Finding the Third Proportional to 150,279 and 232,381.50

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Solution

The third proportional to 150,279 and 232,381.50 is: 359,339.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,279 : 232,381.50 = 232,381.50 : x
  2. Step 2: Convert to fraction form
    150,279/232,381.50 = 232,381.50/x
  3. Step 3: Cross multiply
    150,279x = 232,381.50 × 232,381.50
  4. Step 4: Simplify right side
    150,279x = 54,001,161,542.25
  5. Step 5: Solve for x
    x = 54,001,161,542.25/150,279
  6. Step 6: Final answer
    x = 359,339.37

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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.