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Finding the Third Proportional to 219.38 and 482.94

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Solution

The third proportional to 219.38 and 482.94 is: 1,063.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.38 : 482.94 = 482.94 : x
  2. Step 2: Convert to fraction form
    219.38/482.94 = 482.94/x
  3. Step 3: Cross multiply
    219.38x = 482.94 × 482.94
  4. Step 4: Simplify right side
    219.38x = 233,228.63
  5. Step 5: Solve for x
    x = 233,228.63/219.38
  6. Step 6: Final answer
    x = 1,063.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.