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Finding the Third Proportional to 177,314 and 266,149

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Solution

The third proportional to 177,314 and 266,149 is: 399,490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,314 : 266,149 = 266,149 : x
  2. Step 2: Convert to fraction form
    177,314/266,149 = 266,149/x
  3. Step 3: Cross multiply
    177,314x = 266,149 × 266,149
  4. Step 4: Simplify right side
    177,314x = 70,835,290,201
  5. Step 5: Solve for x
    x = 70,835,290,201/177,314
  6. Step 6: Final answer
    x = 399,490.68

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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.