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Finding the Third Proportional to 201,396.38 and 282,320.44

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Solution

The third proportional to 201,396.38 and 282,320.44 is: 395,760.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,396.38 : 282,320.44 = 282,320.44 : x
  2. Step 2: Convert to fraction form
    201,396.38/282,320.44 = 282,320.44/x
  3. Step 3: Cross multiply
    201,396.38x = 282,320.44 × 282,320.44
  4. Step 4: Simplify right side
    201,396.38x = 79,704,829,430.19
  5. Step 5: Solve for x
    x = 79,704,829,430.19/201,396.38
  6. Step 6: Final answer
    x = 395,760.99

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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.