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Finding the Third Proportional to 219.94 and 476.16

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Solution

The third proportional to 219.94 and 476.16 is: 1,030.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.94 : 476.16 = 476.16 : x
  2. Step 2: Convert to fraction form
    219.94/476.16 = 476.16/x
  3. Step 3: Cross multiply
    219.94x = 476.16 × 476.16
  4. Step 4: Simplify right side
    219.94x = 226,724.77
  5. Step 5: Solve for x
    x = 226,724.77/219.94
  6. Step 6: Final answer
    x = 1,030.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.