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Finding the Third Proportional to 849.66 and 1,242.42

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Solution

The third proportional to 849.66 and 1,242.42 is: 1,816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.66 : 1,242.42 = 1,242.42 : x
  2. Step 2: Convert to fraction form
    849.66/1,242.42 = 1,242.42/x
  3. Step 3: Cross multiply
    849.66x = 1,242.42 × 1,242.42
  4. Step 4: Simplify right side
    849.66x = 1,543,612.12
  5. Step 5: Solve for x
    x = 1,543,612.12/849.66
  6. Step 6: Final answer
    x = 1,816.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.