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Finding the Third Proportional to 242.25 and 364.38

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Solution

The third proportional to 242.25 and 364.38 is: 548.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.25 : 364.38 = 364.38 : x
  2. Step 2: Convert to fraction form
    242.25/364.38 = 364.38/x
  3. Step 3: Cross multiply
    242.25x = 364.38 × 364.38
  4. Step 4: Simplify right side
    242.25x = 132,769.14
  5. Step 5: Solve for x
    x = 132,769.14/242.25
  6. Step 6: Final answer
    x = 548.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.