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Finding the Third Proportional to 308.94 and 465.94

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Solution

The third proportional to 308.94 and 465.94 is: 702.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.94 : 465.94 = 465.94 : x
  2. Step 2: Convert to fraction form
    308.94/465.94 = 465.94/x
  3. Step 3: Cross multiply
    308.94x = 465.94 × 465.94
  4. Step 4: Simplify right side
    308.94x = 217,097.75
  5. Step 5: Solve for x
    x = 217,097.75/308.94
  6. Step 6: Final answer
    x = 702.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.