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Finding the Third Proportional to 737.81 and 1,184.81

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Solution

The third proportional to 737.81 and 1,184.81 is: 1,902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.81 : 1,184.81 = 1,184.81 : x
  2. Step 2: Convert to fraction form
    737.81/1,184.81 = 1,184.81/x
  3. Step 3: Cross multiply
    737.81x = 1,184.81 × 1,184.81
  4. Step 4: Simplify right side
    737.81x = 1,403,780.66
  5. Step 5: Solve for x
    x = 1,403,780.66/737.81
  6. Step 6: Final answer
    x = 1,902.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.