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Finding the Third Proportional to 177,048 and 266,244

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Solution

The third proportional to 177,048 and 266,244 is: 400,376.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,048 : 266,244 = 266,244 : x
  2. Step 2: Convert to fraction form
    177,048/266,244 = 266,244/x
  3. Step 3: Cross multiply
    177,048x = 266,244 × 266,244
  4. Step 4: Simplify right side
    177,048x = 70,885,867,536
  5. Step 5: Solve for x
    x = 70,885,867,536/177,048
  6. Step 6: Final answer
    x = 400,376.55

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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.