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Finding the Third Proportional to 224.63 and 476.25

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Solution

The third proportional to 224.63 and 476.25 is: 1,009.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.63 : 476.25 = 476.25 : x
  2. Step 2: Convert to fraction form
    224.63/476.25 = 476.25/x
  3. Step 3: Cross multiply
    224.63x = 476.25 × 476.25
  4. Step 4: Simplify right side
    224.63x = 226,814.06
  5. Step 5: Solve for x
    x = 226,814.06/224.63
  6. Step 6: Final answer
    x = 1,009.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.