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Finding the Third Proportional to 169,331.94 and 232,200.38

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Solution

The third proportional to 169,331.94 and 232,200.38 is: 318,410.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,331.94 : 232,200.38 = 232,200.38 : x
  2. Step 2: Convert to fraction form
    169,331.94/232,200.38 = 232,200.38/x
  3. Step 3: Cross multiply
    169,331.94x = 232,200.38 × 232,200.38
  4. Step 4: Simplify right side
    169,331.94x = 53,917,014,150.14
  5. Step 5: Solve for x
    x = 53,917,014,150.14/169,331.94
  6. Step 6: Final answer
    x = 318,410.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.