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Finding the Third Proportional to 132,315.75 and 199,704.38

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Solution

The third proportional to 132,315.75 and 199,704.38 is: 301,414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,315.75 : 199,704.38 = 199,704.38 : x
  2. Step 2: Convert to fraction form
    132,315.75/199,704.38 = 199,704.38/x
  3. Step 3: Cross multiply
    132,315.75x = 199,704.38 × 199,704.38
  4. Step 4: Simplify right side
    132,315.75x = 39,881,837,394.14
  5. Step 5: Solve for x
    x = 39,881,837,394.14/132,315.75
  6. Step 6: Final answer
    x = 301,414.14

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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.