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Finding the Third Proportional to 1,168.17 and 1,697.84

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Solution

The third proportional to 1,168.17 and 1,697.84 is: 2,467.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.17 : 1,697.84 = 1,697.84 : x
  2. Step 2: Convert to fraction form
    1,168.17/1,697.84 = 1,697.84/x
  3. Step 3: Cross multiply
    1,168.17x = 1,697.84 × 1,697.84
  4. Step 4: Simplify right side
    1,168.17x = 2,882,646.87
  5. Step 5: Solve for x
    x = 2,882,646.87/1,168.17
  6. Step 6: Final answer
    x = 2,467.66

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.