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Finding the Third Proportional to 192,163.50 and 409,275

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Solution

The third proportional to 192,163.50 and 409,275 is: 871,684.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,163.50 : 409,275 = 409,275 : x
  2. Step 2: Convert to fraction form
    192,163.50/409,275 = 409,275/x
  3. Step 3: Cross multiply
    192,163.50x = 409,275 × 409,275
  4. Step 4: Simplify right side
    192,163.50x = 167,506,025,625
  5. Step 5: Solve for x
    x = 167,506,025,625/192,163.50
  6. Step 6: Final answer
    x = 871,684.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.