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Finding the Third Proportional to 305.41 and 466.66

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Solution

The third proportional to 305.41 and 466.66 is: 713.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.41 : 466.66 = 466.66 : x
  2. Step 2: Convert to fraction form
    305.41/466.66 = 466.66/x
  3. Step 3: Cross multiply
    305.41x = 466.66 × 466.66
  4. Step 4: Simplify right side
    305.41x = 217,771.25
  5. Step 5: Solve for x
    x = 217,771.25/305.41
  6. Step 6: Final answer
    x = 713.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.