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Finding the Third Proportional to 224.02 and 305.65

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Solution

The third proportional to 224.02 and 305.65 is: 417.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.02 : 305.65 = 305.65 : x
  2. Step 2: Convert to fraction form
    224.02/305.65 = 305.65/x
  3. Step 3: Cross multiply
    224.02x = 305.65 × 305.65
  4. Step 4: Simplify right side
    224.02x = 93,420.97
  5. Step 5: Solve for x
    x = 93,420.97/224.02
  6. Step 6: Final answer
    x = 417.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.