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Finding the Third Proportional to 219.75 and 478.13

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Solution

The third proportional to 219.75 and 478.13 is: 1,040.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.75 : 478.13 = 478.13 : x
  2. Step 2: Convert to fraction form
    219.75/478.13 = 478.13/x
  3. Step 3: Cross multiply
    219.75x = 478.13 × 478.13
  4. Step 4: Simplify right side
    219.75x = 228,603.52
  5. Step 5: Solve for x
    x = 228,603.52/219.75
  6. Step 6: Final answer
    x = 1,040.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.