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Finding the Third Proportional to 169,326.70 and 232,192.83

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Solution

The third proportional to 169,326.70 and 232,192.83 is: 318,399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,326.70 : 232,192.83 = 232,192.83 : x
  2. Step 2: Convert to fraction form
    169,326.70/232,192.83 = 232,192.83/x
  3. Step 3: Cross multiply
    169,326.70x = 232,192.83 × 232,192.83
  4. Step 4: Simplify right side
    169,326.70x = 53,913,509,432.69
  5. Step 5: Solve for x
    x = 53,913,509,432.69/169,326.70
  6. Step 6: Final answer
    x = 318,399.33

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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.