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Finding the Third Proportional to 174,656.25 and 267,077.25

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Solution

The third proportional to 174,656.25 and 267,077.25 is: 408,403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,656.25 : 267,077.25 = 267,077.25 : x
  2. Step 2: Convert to fraction form
    174,656.25/267,077.25 = 267,077.25/x
  3. Step 3: Cross multiply
    174,656.25x = 267,077.25 × 267,077.25
  4. Step 4: Simplify right side
    174,656.25x = 71,330,257,467.56
  5. Step 5: Solve for x
    x = 71,330,257,467.56/174,656.25
  6. Step 6: Final answer
    x = 408,403.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.