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Finding the Third Proportional to 308.50 and 666.13

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Solution

The third proportional to 308.50 and 666.13 is: 1,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.50 : 666.13 = 666.13 : x
  2. Step 2: Convert to fraction form
    308.50/666.13 = 666.13/x
  3. Step 3: Cross multiply
    308.50x = 666.13 × 666.13
  4. Step 4: Simplify right side
    308.50x = 443,722.52
  5. Step 5: Solve for x
    x = 443,722.52/308.50
  6. Step 6: Final answer
    x = 1,438.32

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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.