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Finding the Third Proportional to 308.16 and 665.72

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Solution

The third proportional to 308.16 and 665.72 is: 1,438.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.16 : 665.72 = 665.72 : x
  2. Step 2: Convert to fraction form
    308.16/665.72 = 665.72/x
  3. Step 3: Cross multiply
    308.16x = 665.72 × 665.72
  4. Step 4: Simplify right side
    308.16x = 443,181.45
  5. Step 5: Solve for x
    x = 443,181.45/308.16
  6. Step 6: Final answer
    x = 1,438.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.