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Finding the Third Proportional to 818.81 and 1,216.78

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Solution

The third proportional to 818.81 and 1,216.78 is: 1,808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.81 : 1,216.78 = 1,216.78 : x
  2. Step 2: Convert to fraction form
    818.81/1,216.78 = 1,216.78/x
  3. Step 3: Cross multiply
    818.81x = 1,216.78 × 1,216.78
  4. Step 4: Simplify right side
    818.81x = 1,480,556.61
  5. Step 5: Solve for x
    x = 1,480,556.61/818.81
  6. Step 6: Final answer
    x = 1,808.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.