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Finding the Third Proportional to 166,441.50 and 270,410.06

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Solution

The third proportional to 166,441.50 and 270,410.06 is: 439,323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,441.50 : 270,410.06 = 270,410.06 : x
  2. Step 2: Convert to fraction form
    166,441.50/270,410.06 = 270,410.06/x
  3. Step 3: Cross multiply
    166,441.50x = 270,410.06 × 270,410.06
  4. Step 4: Simplify right side
    166,441.50x = 73,121,601,901.25
  5. Step 5: Solve for x
    x = 73,121,601,901.25/166,441.50
  6. Step 6: Final answer
    x = 439,323.14

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.