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Finding the Third Proportional to 120.25 and 224.50

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Solution

The third proportional to 120.25 and 224.50 is: 419.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.25 : 224.50 = 224.50 : x
  2. Step 2: Convert to fraction form
    120.25/224.50 = 224.50/x
  3. Step 3: Cross multiply
    120.25x = 224.50 × 224.50
  4. Step 4: Simplify right side
    120.25x = 50,400.25
  5. Step 5: Solve for x
    x = 50,400.25/120.25
  6. Step 6: Final answer
    x = 419.13

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.