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Finding the Third Proportional to 200.53 and 394.03

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Solution

The third proportional to 200.53 and 394.03 is: 774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.53 : 394.03 = 394.03 : x
  2. Step 2: Convert to fraction form
    200.53/394.03 = 394.03/x
  3. Step 3: Cross multiply
    200.53x = 394.03 × 394.03
  4. Step 4: Simplify right side
    200.53x = 155,260.63
  5. Step 5: Solve for x
    x = 155,260.63/200.53
  6. Step 6: Final answer
    x = 774.25

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.