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Finding the Third Proportional to 166,071.94 and 264,378.94

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Solution

The third proportional to 166,071.94 and 264,378.94 is: 420,879.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,071.94 : 264,378.94 = 264,378.94 : x
  2. Step 2: Convert to fraction form
    166,071.94/264,378.94 = 264,378.94/x
  3. Step 3: Cross multiply
    166,071.94x = 264,378.94 × 264,378.94
  4. Step 4: Simplify right side
    166,071.94x = 69,896,222,593.63
  5. Step 5: Solve for x
    x = 69,896,222,593.63/166,071.94
  6. Step 6: Final answer
    x = 420,879.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.