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Finding the Third Proportional to 188,400.75 and 282,604.13

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Solution

The third proportional to 188,400.75 and 282,604.13 is: 423,910.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,400.75 : 282,604.13 = 282,604.13 : x
  2. Step 2: Convert to fraction form
    188,400.75/282,604.13 = 282,604.13/x
  3. Step 3: Cross multiply
    188,400.75x = 282,604.13 × 282,604.13
  4. Step 4: Simplify right side
    188,400.75x = 79,865,091,467.02
  5. Step 5: Solve for x
    x = 79,865,091,467.02/188,400.75
  6. Step 6: Final answer
    x = 423,910.69

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Why These Related Problems?

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