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Finding the Third Proportional to 201.19 and 427.69

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Solution

The third proportional to 201.19 and 427.69 is: 909.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.19 : 427.69 = 427.69 : x
  2. Step 2: Convert to fraction form
    201.19/427.69 = 427.69/x
  3. Step 3: Cross multiply
    201.19x = 427.69 × 427.69
  4. Step 4: Simplify right side
    201.19x = 182,916.60
  5. Step 5: Solve for x
    x = 182,916.60/201.19
  6. Step 6: Final answer
    x = 909.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.