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Finding the Third Proportional to 188,945.88 and 415,251.75

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Solution

The third proportional to 188,945.88 and 415,251.75 is: 912,610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,945.88 : 415,251.75 = 415,251.75 : x
  2. Step 2: Convert to fraction form
    188,945.88/415,251.75 = 415,251.75/x
  3. Step 3: Cross multiply
    188,945.88x = 415,251.75 × 415,251.75
  4. Step 4: Simplify right side
    188,945.88x = 172,434,015,878.06
  5. Step 5: Solve for x
    x = 172,434,015,878.06/188,945.88
  6. Step 6: Final answer
    x = 912,610.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.