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Finding the Third Proportional to 244.37 and 365.24

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Solution

The third proportional to 244.37 and 365.24 is: 545.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.37 : 365.24 = 365.24 : x
  2. Step 2: Convert to fraction form
    244.37/365.24 = 365.24/x
  3. Step 3: Cross multiply
    244.37x = 365.24 × 365.24
  4. Step 4: Simplify right side
    244.37x = 133,399.00
  5. Step 5: Solve for x
    x = 133,399.00/244.37
  6. Step 6: Final answer
    x = 545.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.