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Finding the Third Proportional to 223.44 and 522.06

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Solution

The third proportional to 223.44 and 522.06 is: 1,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.44 : 522.06 = 522.06 : x
  2. Step 2: Convert to fraction form
    223.44/522.06 = 522.06/x
  3. Step 3: Cross multiply
    223.44x = 522.06 × 522.06
  4. Step 4: Simplify right side
    223.44x = 272,549.25
  5. Step 5: Solve for x
    x = 272,549.25/223.44
  6. Step 6: Final answer
    x = 1,219.80

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.