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Finding the Third Proportional to 224.65 and 303.51

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Solution

The third proportional to 224.65 and 303.51 is: 410.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.65 : 303.51 = 303.51 : x
  2. Step 2: Convert to fraction form
    224.65/303.51 = 303.51/x
  3. Step 3: Cross multiply
    224.65x = 303.51 × 303.51
  4. Step 4: Simplify right side
    224.65x = 92,119.96
  5. Step 5: Solve for x
    x = 92,119.96/224.65
  6. Step 6: Final answer
    x = 410.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.