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Finding the Third Proportional to 167,401 and 261,253.50

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Solution

The third proportional to 167,401 and 261,253.50 is: 407,723.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,401 : 261,253.50 = 261,253.50 : x
  2. Step 2: Convert to fraction form
    167,401/261,253.50 = 261,253.50/x
  3. Step 3: Cross multiply
    167,401x = 261,253.50 × 261,253.50
  4. Step 4: Simplify right side
    167,401x = 68,253,391,262.25
  5. Step 5: Solve for x
    x = 68,253,391,262.25/167,401
  6. Step 6: Final answer
    x = 407,723.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.