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Finding the Third Proportional to 245.53 and 364.92

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Solution

The third proportional to 245.53 and 364.92 is: 542.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.53 : 364.92 = 364.92 : x
  2. Step 2: Convert to fraction form
    245.53/364.92 = 364.92/x
  3. Step 3: Cross multiply
    245.53x = 364.92 × 364.92
  4. Step 4: Simplify right side
    245.53x = 133,167.97
  5. Step 5: Solve for x
    x = 133,167.97/245.53
  6. Step 6: Final answer
    x = 542.37

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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.