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Finding the Third Proportional to 1,197.45 and 1,648.86

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Solution

The third proportional to 1,197.45 and 1,648.86 is: 2,270.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.45 : 1,648.86 = 1,648.86 : x
  2. Step 2: Convert to fraction form
    1,197.45/1,648.86 = 1,648.86/x
  3. Step 3: Cross multiply
    1,197.45x = 1,648.86 × 1,648.86
  4. Step 4: Simplify right side
    1,197.45x = 2,718,738.35
  5. Step 5: Solve for x
    x = 2,718,738.35/1,197.45
  6. Step 6: Final answer
    x = 2,270.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.