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Finding the Third Proportional to 188,754.75 and 414,810

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Solution

The third proportional to 188,754.75 and 414,810 is: 911,592.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,754.75 : 414,810 = 414,810 : x
  2. Step 2: Convert to fraction form
    188,754.75/414,810 = 414,810/x
  3. Step 3: Cross multiply
    188,754.75x = 414,810 × 414,810
  4. Step 4: Simplify right side
    188,754.75x = 172,067,336,100
  5. Step 5: Solve for x
    x = 172,067,336,100/188,754.75
  6. Step 6: Final answer
    x = 911,592.08

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