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Finding the Third Proportional to 223.84 and 486.06

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Solution

The third proportional to 223.84 and 486.06 is: 1,055.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.84 : 486.06 = 486.06 : x
  2. Step 2: Convert to fraction form
    223.84/486.06 = 486.06/x
  3. Step 3: Cross multiply
    223.84x = 486.06 × 486.06
  4. Step 4: Simplify right side
    223.84x = 236,256.75
  5. Step 5: Solve for x
    x = 236,256.75/223.84
  6. Step 6: Final answer
    x = 1,055.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.