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Finding the Third Proportional to 235.69 and 365.34

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Solution

The third proportional to 235.69 and 365.34 is: 566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.69 : 365.34 = 365.34 : x
  2. Step 2: Convert to fraction form
    235.69/365.34 = 365.34/x
  3. Step 3: Cross multiply
    235.69x = 365.34 × 365.34
  4. Step 4: Simplify right side
    235.69x = 133,476.06
  5. Step 5: Solve for x
    x = 133,476.06/235.69
  6. Step 6: Final answer
    x = 566.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.