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Finding the Third Proportional to 308.81 and 452.91

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Solution

The third proportional to 308.81 and 452.91 is: 664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.81 : 452.91 = 452.91 : x
  2. Step 2: Convert to fraction form
    308.81/452.91 = 452.91/x
  3. Step 3: Cross multiply
    308.81x = 452.91 × 452.91
  4. Step 4: Simplify right side
    308.81x = 205,124.07
  5. Step 5: Solve for x
    x = 205,124.07/308.81
  6. Step 6: Final answer
    x = 664.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.