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Finding the Third Proportional to 135,739.13 and 289,500.75

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Solution

The third proportional to 135,739.13 and 289,500.75 is: 617,439.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,739.13 : 289,500.75 = 289,500.75 : x
  2. Step 2: Convert to fraction form
    135,739.13/289,500.75 = 289,500.75/x
  3. Step 3: Cross multiply
    135,739.13x = 289,500.75 × 289,500.75
  4. Step 4: Simplify right side
    135,739.13x = 83,810,684,250.56
  5. Step 5: Solve for x
    x = 83,810,684,250.56/135,739.13
  6. Step 6: Final answer
    x = 617,439.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.