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Finding the Third Proportional to 185,429.25 and 251,889.75

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Solution

The third proportional to 185,429.25 and 251,889.75 is: 342,170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,429.25 : 251,889.75 = 251,889.75 : x
  2. Step 2: Convert to fraction form
    185,429.25/251,889.75 = 251,889.75/x
  3. Step 3: Cross multiply
    185,429.25x = 251,889.75 × 251,889.75
  4. Step 4: Simplify right side
    185,429.25x = 63,448,446,155.06
  5. Step 5: Solve for x
    x = 63,448,446,155.06/185,429.25
  6. Step 6: Final answer
    x = 342,170.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.