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Finding the Third Proportional to 166,944 and 255,937.50

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Solution

The third proportional to 166,944 and 255,937.50 is: 392,371.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,944 : 255,937.50 = 255,937.50 : x
  2. Step 2: Convert to fraction form
    166,944/255,937.50 = 255,937.50/x
  3. Step 3: Cross multiply
    166,944x = 255,937.50 × 255,937.50
  4. Step 4: Simplify right side
    166,944x = 65,504,003,906.25
  5. Step 5: Solve for x
    x = 65,504,003,906.25/166,944
  6. Step 6: Final answer
    x = 392,371.12

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.