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Finding the Third Proportional to 132,275.25 and 199,605.38

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Solution

The third proportional to 132,275.25 and 199,605.38 is: 301,207.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,275.25 : 199,605.38 = 199,605.38 : x
  2. Step 2: Convert to fraction form
    132,275.25/199,605.38 = 199,605.38/x
  3. Step 3: Cross multiply
    132,275.25x = 199,605.38 × 199,605.38
  4. Step 4: Simplify right side
    132,275.25x = 39,842,305,728.89
  5. Step 5: Solve for x
    x = 39,842,305,728.89/132,275.25
  6. Step 6: Final answer
    x = 301,207.56

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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.