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Finding the Third Proportional to 197,652 and 431,081.25

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Solution

The third proportional to 197,652 and 431,081.25 is: 940,193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,652 : 431,081.25 = 431,081.25 : x
  2. Step 2: Convert to fraction form
    197,652/431,081.25 = 431,081.25/x
  3. Step 3: Cross multiply
    197,652x = 431,081.25 × 431,081.25
  4. Step 4: Simplify right side
    197,652x = 185,831,044,101.56
  5. Step 5: Solve for x
    x = 185,831,044,101.56/197,652
  6. Step 6: Final answer
    x = 940,193.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.