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Finding the Third Proportional to 201,132.25 and 277,060.75

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Solution

The third proportional to 201,132.25 and 277,060.75 is: 381,652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,132.25 : 277,060.75 = 277,060.75 : x
  2. Step 2: Convert to fraction form
    201,132.25/277,060.75 = 277,060.75/x
  3. Step 3: Cross multiply
    201,132.25x = 277,060.75 × 277,060.75
  4. Step 4: Simplify right side
    201,132.25x = 76,762,659,190.56
  5. Step 5: Solve for x
    x = 76,762,659,190.56/201,132.25
  6. Step 6: Final answer
    x = 381,652.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.