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Finding the Third Proportional to 305.94 and 473.19

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Solution

The third proportional to 305.94 and 473.19 is: 731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.94 : 473.19 = 473.19 : x
  2. Step 2: Convert to fraction form
    305.94/473.19 = 473.19/x
  3. Step 3: Cross multiply
    305.94x = 473.19 × 473.19
  4. Step 4: Simplify right side
    305.94x = 223,906.41
  5. Step 5: Solve for x
    x = 223,906.41/305.94
  6. Step 6: Final answer
    x = 731.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.