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Finding the Third Proportional to 177,794 and 266,187

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Solution

The third proportional to 177,794 and 266,187 is: 398,525.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,794 : 266,187 = 266,187 : x
  2. Step 2: Convert to fraction form
    177,794/266,187 = 266,187/x
  3. Step 3: Cross multiply
    177,794x = 266,187 × 266,187
  4. Step 4: Simplify right side
    177,794x = 70,855,518,969
  5. Step 5: Solve for x
    x = 70,855,518,969/177,794
  6. Step 6: Final answer
    x = 398,525.93

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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.