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Finding the Third Proportional to 188,380.50 and 282,992.25

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Solution

The third proportional to 188,380.50 and 282,992.25 is: 425,121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,380.50 : 282,992.25 = 282,992.25 : x
  2. Step 2: Convert to fraction form
    188,380.50/282,992.25 = 282,992.25/x
  3. Step 3: Cross multiply
    188,380.50x = 282,992.25 × 282,992.25
  4. Step 4: Simplify right side
    188,380.50x = 80,084,613,560.06
  5. Step 5: Solve for x
    x = 80,084,613,560.06/188,380.50
  6. Step 6: Final answer
    x = 425,121.57

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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.