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Finding the Third Proportional to 170,398.69 and 267,327.84

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Solution

The third proportional to 170,398.69 and 267,327.84 is: 419,393.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,398.69 : 267,327.84 = 267,327.84 : x
  2. Step 2: Convert to fraction form
    170,398.69/267,327.84 = 267,327.84/x
  3. Step 3: Cross multiply
    170,398.69x = 267,327.84 × 267,327.84
  4. Step 4: Simplify right side
    170,398.69x = 71,464,176,044.02
  5. Step 5: Solve for x
    x = 71,464,176,044.02/170,398.69
  6. Step 6: Final answer
    x = 419,393.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.