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Finding the Third Proportional to 201.23 and 430.95

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Solution

The third proportional to 201.23 and 430.95 is: 922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.23 : 430.95 = 430.95 : x
  2. Step 2: Convert to fraction form
    201.23/430.95 = 430.95/x
  3. Step 3: Cross multiply
    201.23x = 430.95 × 430.95
  4. Step 4: Simplify right side
    201.23x = 185,713.86
  5. Step 5: Solve for x
    x = 185,713.86/201.23
  6. Step 6: Final answer
    x = 922.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.