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Finding the Third Proportional to 220.25 and 470.50

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Solution

The third proportional to 220.25 and 470.50 is: 1,005.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.25 : 470.50 = 470.50 : x
  2. Step 2: Convert to fraction form
    220.25/470.50 = 470.50/x
  3. Step 3: Cross multiply
    220.25x = 470.50 × 470.50
  4. Step 4: Simplify right side
    220.25x = 221,370.25
  5. Step 5: Solve for x
    x = 221,370.25/220.25
  6. Step 6: Final answer
    x = 1,005.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.