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Finding the Third Proportional to 150,033.75 and 232,158.75

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Solution

The third proportional to 150,033.75 and 232,158.75 is: 359,237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,033.75 : 232,158.75 = 232,158.75 : x
  2. Step 2: Convert to fraction form
    150,033.75/232,158.75 = 232,158.75/x
  3. Step 3: Cross multiply
    150,033.75x = 232,158.75 × 232,158.75
  4. Step 4: Simplify right side
    150,033.75x = 53,897,685,201.56
  5. Step 5: Solve for x
    x = 53,897,685,201.56/150,033.75
  6. Step 6: Final answer
    x = 359,237.07

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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.