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Finding the Third Proportional to 138,213.50 and 211,688.25

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Solution

The third proportional to 138,213.50 and 211,688.25 is: 324,222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,213.50 : 211,688.25 = 211,688.25 : x
  2. Step 2: Convert to fraction form
    138,213.50/211,688.25 = 211,688.25/x
  3. Step 3: Cross multiply
    138,213.50x = 211,688.25 × 211,688.25
  4. Step 4: Simplify right side
    138,213.50x = 44,811,915,188.06
  5. Step 5: Solve for x
    x = 44,811,915,188.06/138,213.50
  6. Step 6: Final answer
    x = 324,222.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.