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Finding the Third Proportional to 364.75 and 548.13

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Solution

The third proportional to 364.75 and 548.13 is: 823.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.75 : 548.13 = 548.13 : x
  2. Step 2: Convert to fraction form
    364.75/548.13 = 548.13/x
  3. Step 3: Cross multiply
    364.75x = 548.13 × 548.13
  4. Step 4: Simplify right side
    364.75x = 300,441.02
  5. Step 5: Solve for x
    x = 300,441.02/364.75
  6. Step 6: Final answer
    x = 823.69

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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.