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Finding the Third Proportional to 201.23 and 328.43

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Solution

The third proportional to 201.23 and 328.43 is: 536.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.23 : 328.43 = 328.43 : x
  2. Step 2: Convert to fraction form
    201.23/328.43 = 328.43/x
  3. Step 3: Cross multiply
    201.23x = 328.43 × 328.43
  4. Step 4: Simplify right side
    201.23x = 107,866.06
  5. Step 5: Solve for x
    x = 107,866.06/201.23
  6. Step 6: Final answer
    x = 536.02

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.