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Finding the Third Proportional to 201,367.25 and 282,214.75

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Solution

The third proportional to 201,367.25 and 282,214.75 is: 395,521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,367.25 : 282,214.75 = 282,214.75 : x
  2. Step 2: Convert to fraction form
    201,367.25/282,214.75 = 282,214.75/x
  3. Step 3: Cross multiply
    201,367.25x = 282,214.75 × 282,214.75
  4. Step 4: Simplify right side
    201,367.25x = 79,645,165,117.56
  5. Step 5: Solve for x
    x = 79,645,165,117.56/201,367.25
  6. Step 6: Final answer
    x = 395,521.94

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.