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Finding the Third Proportional to 244.97 and 365.77

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Solution

The third proportional to 244.97 and 365.77 is: 546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.97 : 365.77 = 365.77 : x
  2. Step 2: Convert to fraction form
    244.97/365.77 = 365.77/x
  3. Step 3: Cross multiply
    244.97x = 365.77 × 365.77
  4. Step 4: Simplify right side
    244.97x = 133,784.49
  5. Step 5: Solve for x
    x = 133,784.49/244.97
  6. Step 6: Final answer
    x = 546.13

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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.