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Finding the Third Proportional to 132,357 and 199,769.75

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Solution

The third proportional to 132,357 and 199,769.75 is: 301,517.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,357 : 199,769.75 = 199,769.75 : x
  2. Step 2: Convert to fraction form
    132,357/199,769.75 = 199,769.75/x
  3. Step 3: Cross multiply
    132,357x = 199,769.75 × 199,769.75
  4. Step 4: Simplify right side
    132,357x = 39,907,953,015.06
  5. Step 5: Solve for x
    x = 39,907,953,015.06/132,357
  6. Step 6: Final answer
    x = 301,517.51

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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.