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Finding the Third Proportional to 188,493.75 and 406,509.75

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Solution

The third proportional to 188,493.75 and 406,509.75 is: 876,687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,493.75 : 406,509.75 = 406,509.75 : x
  2. Step 2: Convert to fraction form
    188,493.75/406,509.75 = 406,509.75/x
  3. Step 3: Cross multiply
    188,493.75x = 406,509.75 × 406,509.75
  4. Step 4: Simplify right side
    188,493.75x = 165,250,176,845.06
  5. Step 5: Solve for x
    x = 165,250,176,845.06/188,493.75
  6. Step 6: Final answer
    x = 876,687.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.