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Finding the Third Proportional to 201,209.25 and 272,286.75

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Solution

The third proportional to 201,209.25 and 272,286.75 is: 368,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,209.25 : 272,286.75 = 272,286.75 : x
  2. Step 2: Convert to fraction form
    201,209.25/272,286.75 = 272,286.75/x
  3. Step 3: Cross multiply
    201,209.25x = 272,286.75 × 272,286.75
  4. Step 4: Simplify right side
    201,209.25x = 74,140,074,225.56
  5. Step 5: Solve for x
    x = 74,140,074,225.56/201,209.25
  6. Step 6: Final answer
    x = 368,472.49

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.