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Finding the Third Proportional to 166,541.50 and 356,879

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Solution

The third proportional to 166,541.50 and 356,879 is: 764,750.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,541.50 : 356,879 = 356,879 : x
  2. Step 2: Convert to fraction form
    166,541.50/356,879 = 356,879/x
  3. Step 3: Cross multiply
    166,541.50x = 356,879 × 356,879
  4. Step 4: Simplify right side
    166,541.50x = 127,362,620,641
  5. Step 5: Solve for x
    x = 127,362,620,641/166,541.50
  6. Step 6: Final answer
    x = 764,750.05

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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.