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Finding the Third Proportional to 166,542.50 and 356,881

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Solution

The third proportional to 166,542.50 and 356,881 is: 764,754.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,542.50 : 356,881 = 356,881 : x
  2. Step 2: Convert to fraction form
    166,542.50/356,881 = 356,881/x
  3. Step 3: Cross multiply
    166,542.50x = 356,881 × 356,881
  4. Step 4: Simplify right side
    166,542.50x = 127,364,048,161
  5. Step 5: Solve for x
    x = 127,364,048,161/166,542.50
  6. Step 6: Final answer
    x = 764,754.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.