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Finding the Third Proportional to 135,965.25 and 291,612.75

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Solution

The third proportional to 135,965.25 and 291,612.75 is: 625,439.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,965.25 : 291,612.75 = 291,612.75 : x
  2. Step 2: Convert to fraction form
    135,965.25/291,612.75 = 291,612.75/x
  3. Step 3: Cross multiply
    135,965.25x = 291,612.75 × 291,612.75
  4. Step 4: Simplify right side
    135,965.25x = 85,037,995,962.56
  5. Step 5: Solve for x
    x = 85,037,995,962.56/135,965.25
  6. Step 6: Final answer
    x = 625,439.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.