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Finding the Third Proportional to 132,768 and 199,296

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Solution

The third proportional to 132,768 and 199,296 is: 299,160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,768 : 199,296 = 199,296 : x
  2. Step 2: Convert to fraction form
    132,768/199,296 = 199,296/x
  3. Step 3: Cross multiply
    132,768x = 199,296 × 199,296
  4. Step 4: Simplify right side
    132,768x = 39,718,895,616
  5. Step 5: Solve for x
    x = 39,718,895,616/132,768
  6. Step 6: Final answer
    x = 299,160.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.