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Finding the Third Proportional to 200.53 and 486.28

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Solution

The third proportional to 200.53 and 486.28 is: 1,179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.53 : 486.28 = 486.28 : x
  2. Step 2: Convert to fraction form
    200.53/486.28 = 486.28/x
  3. Step 3: Cross multiply
    200.53x = 486.28 × 486.28
  4. Step 4: Simplify right side
    200.53x = 236,469.45
  5. Step 5: Solve for x
    x = 236,469.45/200.53
  6. Step 6: Final answer
    x = 1,179.21

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.