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Finding the Third Proportional to 224.81 and 357.56

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Solution

The third proportional to 224.81 and 357.56 is: 568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.81 : 357.56 = 357.56 : x
  2. Step 2: Convert to fraction form
    224.81/357.56 = 357.56/x
  3. Step 3: Cross multiply
    224.81x = 357.56 × 357.56
  4. Step 4: Simplify right side
    224.81x = 127,850.94
  5. Step 5: Solve for x
    x = 127,850.94/224.81
  6. Step 6: Final answer
    x = 568.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.