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Finding the Third Proportional to 756.42 and 1,168.17

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Solution

The third proportional to 756.42 and 1,168.17 is: 1,804.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.42 : 1,168.17 = 1,168.17 : x
  2. Step 2: Convert to fraction form
    756.42/1,168.17 = 1,168.17/x
  3. Step 3: Cross multiply
    756.42x = 1,168.17 × 1,168.17
  4. Step 4: Simplify right side
    756.42x = 1,364,625.53
  5. Step 5: Solve for x
    x = 1,364,625.53/756.42
  6. Step 6: Final answer
    x = 1,804.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.