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Finding the Third Proportional to 866.81 and 1,184.44

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Solution

The third proportional to 866.81 and 1,184.44 is: 1,618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.81 : 1,184.44 = 1,184.44 : x
  2. Step 2: Convert to fraction form
    866.81/1,184.44 = 1,184.44/x
  3. Step 3: Cross multiply
    866.81x = 1,184.44 × 1,184.44
  4. Step 4: Simplify right side
    866.81x = 1,402,892.19
  5. Step 5: Solve for x
    x = 1,402,892.19/866.81
  6. Step 6: Final answer
    x = 1,618.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.