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Finding the Third Proportional to 136,469.25 and 291,642.75

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Solution

The third proportional to 136,469.25 and 291,642.75 is: 623,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,469.25 : 291,642.75 = 291,642.75 : x
  2. Step 2: Convert to fraction form
    136,469.25/291,642.75 = 291,642.75/x
  3. Step 3: Cross multiply
    136,469.25x = 291,642.75 × 291,642.75
  4. Step 4: Simplify right side
    136,469.25x = 85,055,493,627.56
  5. Step 5: Solve for x
    x = 85,055,493,627.56/136,469.25
  6. Step 6: Final answer
    x = 623,257.57

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Why These Related Problems?

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