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Finding the Third Proportional to 182.25 and 244.90

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Solution

The third proportional to 182.25 and 244.90 is: 329.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.25 : 244.90 = 244.90 : x
  2. Step 2: Convert to fraction form
    182.25/244.90 = 244.90/x
  3. Step 3: Cross multiply
    182.25x = 244.90 × 244.90
  4. Step 4: Simplify right side
    182.25x = 59,975.24
  5. Step 5: Solve for x
    x = 59,975.24/182.25
  6. Step 6: Final answer
    x = 329.08

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.