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Finding the Third Proportional to 219.75 and 463.75

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Solution

The third proportional to 219.75 and 463.75 is: 978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.75 : 463.75 = 463.75 : x
  2. Step 2: Convert to fraction form
    219.75/463.75 = 463.75/x
  3. Step 3: Cross multiply
    219.75x = 463.75 × 463.75
  4. Step 4: Simplify right side
    219.75x = 215,064.06
  5. Step 5: Solve for x
    x = 215,064.06/219.75
  6. Step 6: Final answer
    x = 978.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.