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Finding the Third Proportional to 857.25 and 1,197.56

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Solution

The third proportional to 857.25 and 1,197.56 is: 1,672.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.25 : 1,197.56 = 1,197.56 : x
  2. Step 2: Convert to fraction form
    857.25/1,197.56 = 1,197.56/x
  3. Step 3: Cross multiply
    857.25x = 1,197.56 × 1,197.56
  4. Step 4: Simplify right side
    857.25x = 1,434,155.94
  5. Step 5: Solve for x
    x = 1,434,155.94/857.25
  6. Step 6: Final answer
    x = 1,672.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.