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Finding the Third Proportional to 201,295.13 and 276,860.53

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Solution

The third proportional to 201,295.13 and 276,860.53 is: 380,792.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,295.13 : 276,860.53 = 276,860.53 : x
  2. Step 2: Convert to fraction form
    201,295.13/276,860.53 = 276,860.53/x
  3. Step 3: Cross multiply
    201,295.13x = 276,860.53 × 276,860.53
  4. Step 4: Simplify right side
    201,295.13x = 76,651,753,764.03
  5. Step 5: Solve for x
    x = 76,651,753,764.03/201,295.13
  6. Step 6: Final answer
    x = 380,792.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.