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Finding the Third Proportional to 236.25 and 366.69

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Solution

The third proportional to 236.25 and 366.69 is: 569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.25 : 366.69 = 366.69 : x
  2. Step 2: Convert to fraction form
    236.25/366.69 = 366.69/x
  3. Step 3: Cross multiply
    236.25x = 366.69 × 366.69
  4. Step 4: Simplify right side
    236.25x = 134,459.72
  5. Step 5: Solve for x
    x = 134,459.72/236.25
  6. Step 6: Final answer
    x = 569.14

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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.