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Finding the Third Proportional to 177,157 and 377,965

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Solution

The third proportional to 177,157 and 377,965 is: 806,389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,157 : 377,965 = 377,965 : x
  2. Step 2: Convert to fraction form
    177,157/377,965 = 377,965/x
  3. Step 3: Cross multiply
    177,157x = 377,965 × 377,965
  4. Step 4: Simplify right side
    177,157x = 142,857,541,225
  5. Step 5: Solve for x
    x = 142,857,541,225/177,157
  6. Step 6: Final answer
    x = 806,389.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.