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Finding the Third Proportional to 201.56 and 346.41

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Solution

The third proportional to 201.56 and 346.41 is: 595.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.56 : 346.41 = 346.41 : x
  2. Step 2: Convert to fraction form
    201.56/346.41 = 346.41/x
  3. Step 3: Cross multiply
    201.56x = 346.41 × 346.41
  4. Step 4: Simplify right side
    201.56x = 119,997.29
  5. Step 5: Solve for x
    x = 119,997.29/201.56
  6. Step 6: Final answer
    x = 595.34

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.