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Finding the Third Proportional to 172,357.50 and 267,558.25

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Solution

The third proportional to 172,357.50 and 267,558.25 is: 415,342.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,357.50 : 267,558.25 = 267,558.25 : x
  2. Step 2: Convert to fraction form
    172,357.50/267,558.25 = 267,558.25/x
  3. Step 3: Cross multiply
    172,357.50x = 267,558.25 × 267,558.25
  4. Step 4: Simplify right side
    172,357.50x = 71,587,417,143.06
  5. Step 5: Solve for x
    x = 71,587,417,143.06/172,357.50
  6. Step 6: Final answer
    x = 415,342.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.