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Finding the Third Proportional to 135,977.63 and 288,163.13

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Solution

The third proportional to 135,977.63 and 288,163.13 is: 610,673.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,977.63 : 288,163.13 = 288,163.13 : x
  2. Step 2: Convert to fraction form
    135,977.63/288,163.13 = 288,163.13/x
  3. Step 3: Cross multiply
    135,977.63x = 288,163.13 × 288,163.13
  4. Step 4: Simplify right side
    135,977.63x = 83,037,986,609.77
  5. Step 5: Solve for x
    x = 83,037,986,609.77/135,977.63
  6. Step 6: Final answer
    x = 610,673.90

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.