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Finding the Third Proportional to 203,052.25 and 315,652.75

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Solution

The third proportional to 203,052.25 and 315,652.75 is: 490,694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,052.25 : 315,652.75 = 315,652.75 : x
  2. Step 2: Convert to fraction form
    203,052.25/315,652.75 = 315,652.75/x
  3. Step 3: Cross multiply
    203,052.25x = 315,652.75 × 315,652.75
  4. Step 4: Simplify right side
    203,052.25x = 99,636,658,582.56
  5. Step 5: Solve for x
    x = 99,636,658,582.56/203,052.25
  6. Step 6: Final answer
    x = 490,694.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.