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Finding the Third Proportional to 203,617.50 and 438,450

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Solution

The third proportional to 203,617.50 and 438,450 is: 944,115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,617.50 : 438,450 = 438,450 : x
  2. Step 2: Convert to fraction form
    203,617.50/438,450 = 438,450/x
  3. Step 3: Cross multiply
    203,617.50x = 438,450 × 438,450
  4. Step 4: Simplify right side
    203,617.50x = 192,238,402,500
  5. Step 5: Solve for x
    x = 192,238,402,500/203,617.50
  6. Step 6: Final answer
    x = 944,115.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.