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Finding the Third Proportional to 223.59 and 480.09

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Solution

The third proportional to 223.59 and 480.09 is: 1,030.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.59 : 480.09 = 480.09 : x
  2. Step 2: Convert to fraction form
    223.59/480.09 = 480.09/x
  3. Step 3: Cross multiply
    223.59x = 480.09 × 480.09
  4. Step 4: Simplify right side
    223.59x = 230,490.01
  5. Step 5: Solve for x
    x = 230,490.01/223.59
  6. Step 6: Final answer
    x = 1,030.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.