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Finding the Third Proportional to 819.13 and 1,157.88

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Solution

The third proportional to 819.13 and 1,157.88 is: 1,636.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.13 : 1,157.88 = 1,157.88 : x
  2. Step 2: Convert to fraction form
    819.13/1,157.88 = 1,157.88/x
  3. Step 3: Cross multiply
    819.13x = 1,157.88 × 1,157.88
  4. Step 4: Simplify right side
    819.13x = 1,340,674.52
  5. Step 5: Solve for x
    x = 1,340,674.52/819.13
  6. Step 6: Final answer
    x = 1,636.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.