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Finding the Third Proportional to 250,009.50 and 381,165

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Solution

The third proportional to 250,009.50 and 381,165 is: 581,124.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,009.50 : 381,165 = 381,165 : x
  2. Step 2: Convert to fraction form
    250,009.50/381,165 = 381,165/x
  3. Step 3: Cross multiply
    250,009.50x = 381,165 × 381,165
  4. Step 4: Simplify right side
    250,009.50x = 145,286,757,225
  5. Step 5: Solve for x
    x = 145,286,757,225/250,009.50
  6. Step 6: Final answer
    x = 581,124.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.