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Finding the Third Proportional to 115,198.88 and 180,322.88

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Solution

The third proportional to 115,198.88 and 180,322.88 is: 282,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,198.88 : 180,322.88 = 180,322.88 : x
  2. Step 2: Convert to fraction form
    115,198.88/180,322.88 = 180,322.88/x
  3. Step 3: Cross multiply
    115,198.88x = 180,322.88 × 180,322.88
  4. Step 4: Simplify right side
    115,198.88x = 32,516,339,248.27
  5. Step 5: Solve for x
    x = 32,516,339,248.27/115,198.88
  6. Step 6: Final answer
    x = 282,262.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.