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Finding the Third Proportional to 118,197 and 177,379

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Solution

The third proportional to 118,197 and 177,379 is: 266,193.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,197 : 177,379 = 177,379 : x
  2. Step 2: Convert to fraction form
    118,197/177,379 = 177,379/x
  3. Step 3: Cross multiply
    118,197x = 177,379 × 177,379
  4. Step 4: Simplify right side
    118,197x = 31,463,309,641
  5. Step 5: Solve for x
    x = 31,463,309,641/118,197
  6. Step 6: Final answer
    x = 266,193.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.