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Finding the Third Proportional to 166,579.88 and 237,409.31

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Solution

The third proportional to 166,579.88 and 237,409.31 is: 338,355.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,579.88 : 237,409.31 = 237,409.31 : x
  2. Step 2: Convert to fraction form
    166,579.88/237,409.31 = 237,409.31/x
  3. Step 3: Cross multiply
    166,579.88x = 237,409.31 × 237,409.31
  4. Step 4: Simplify right side
    166,579.88x = 56,363,181,661.72
  5. Step 5: Solve for x
    x = 56,363,181,661.72/166,579.88
  6. Step 6: Final answer
    x = 338,355.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.