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Finding the Third Proportional to 132,286.50 and 199,659.94

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Solution

The third proportional to 132,286.50 and 199,659.94 is: 301,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,286.50 : 199,659.94 = 199,659.94 : x
  2. Step 2: Convert to fraction form
    132,286.50/199,659.94 = 199,659.94/x
  3. Step 3: Cross multiply
    132,286.50x = 199,659.94 × 199,659.94
  4. Step 4: Simplify right side
    132,286.50x = 39,864,090,642.50
  5. Step 5: Solve for x
    x = 39,864,090,642.50/132,286.50
  6. Step 6: Final answer
    x = 301,346.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.