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Finding the Third Proportional to 200.75 and 328.38

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Solution

The third proportional to 200.75 and 328.38 is: 537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.75 : 328.38 = 328.38 : x
  2. Step 2: Convert to fraction form
    200.75/328.38 = 328.38/x
  3. Step 3: Cross multiply
    200.75x = 328.38 × 328.38
  4. Step 4: Simplify right side
    200.75x = 107,830.14
  5. Step 5: Solve for x
    x = 107,830.14/200.75
  6. Step 6: Final answer
    x = 537.14

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.