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Finding the Third Proportional to 298.69 and 466.17

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Solution

The third proportional to 298.69 and 466.17 is: 727.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.69 : 466.17 = 466.17 : x
  2. Step 2: Convert to fraction form
    298.69/466.17 = 466.17/x
  3. Step 3: Cross multiply
    298.69x = 466.17 × 466.17
  4. Step 4: Simplify right side
    298.69x = 217,316.22
  5. Step 5: Solve for x
    x = 217,316.22/298.69
  6. Step 6: Final answer
    x = 727.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.