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Finding the Third Proportional to 203.06 and 438.61

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Solution

The third proportional to 203.06 and 438.61 is: 947.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.06 : 438.61 = 438.61 : x
  2. Step 2: Convert to fraction form
    203.06/438.61 = 438.61/x
  3. Step 3: Cross multiply
    203.06x = 438.61 × 438.61
  4. Step 4: Simplify right side
    203.06x = 192,378.18
  5. Step 5: Solve for x
    x = 192,378.18/203.06
  6. Step 6: Final answer
    x = 947.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.