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Finding the Third Proportional to 200.60 and 437.27

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Solution

The third proportional to 200.60 and 437.27 is: 953.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.60 : 437.27 = 437.27 : x
  2. Step 2: Convert to fraction form
    200.60/437.27 = 437.27/x
  3. Step 3: Cross multiply
    200.60x = 437.27 × 437.27
  4. Step 4: Simplify right side
    200.60x = 191,208.06
  5. Step 5: Solve for x
    x = 191,208.06/200.60
  6. Step 6: Final answer
    x = 953.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.