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Finding the Third Proportional to 188,642.25 and 280,400.06

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Solution

The third proportional to 188,642.25 and 280,400.06 is: 416,789.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,642.25 : 280,400.06 = 280,400.06 : x
  2. Step 2: Convert to fraction form
    188,642.25/280,400.06 = 280,400.06/x
  3. Step 3: Cross multiply
    188,642.25x = 280,400.06 × 280,400.06
  4. Step 4: Simplify right side
    188,642.25x = 78,624,195,050.00
  5. Step 5: Solve for x
    x = 78,624,195,050.00/188,642.25
  6. Step 6: Final answer
    x = 416,789.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.