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Finding the Third Proportional to 150,041.50 and 232,251

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Solution

The third proportional to 150,041.50 and 232,251 is: 359,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,041.50 : 232,251 = 232,251 : x
  2. Step 2: Convert to fraction form
    150,041.50/232,251 = 232,251/x
  3. Step 3: Cross multiply
    150,041.50x = 232,251 × 232,251
  4. Step 4: Simplify right side
    150,041.50x = 53,940,527,001
  5. Step 5: Solve for x
    x = 53,940,527,001/150,041.50
  6. Step 6: Final answer
    x = 359,504.05

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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.