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Finding the Third Proportional to 201,800.25 and 442,959.75

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Solution

The third proportional to 201,800.25 and 442,959.75 is: 972,314.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,800.25 : 442,959.75 = 442,959.75 : x
  2. Step 2: Convert to fraction form
    201,800.25/442,959.75 = 442,959.75/x
  3. Step 3: Cross multiply
    201,800.25x = 442,959.75 × 442,959.75
  4. Step 4: Simplify right side
    201,800.25x = 196,213,340,120.06
  5. Step 5: Solve for x
    x = 196,213,340,120.06/201,800.25
  6. Step 6: Final answer
    x = 972,314.65

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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.