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Finding the Third Proportional to 818.23 and 1,337.13

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Solution

The third proportional to 818.23 and 1,337.13 is: 2,185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.23 : 1,337.13 = 1,337.13 : x
  2. Step 2: Convert to fraction form
    818.23/1,337.13 = 1,337.13/x
  3. Step 3: Cross multiply
    818.23x = 1,337.13 × 1,337.13
  4. Step 4: Simplify right side
    818.23x = 1,787,924.16
  5. Step 5: Solve for x
    x = 1,787,924.16/818.23
  6. Step 6: Final answer
    x = 2,185.12

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.