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Finding the Third Proportional to 177,844 and 266,138

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Solution

The third proportional to 177,844 and 266,138 is: 398,267.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,844 : 266,138 = 266,138 : x
  2. Step 2: Convert to fraction form
    177,844/266,138 = 266,138/x
  3. Step 3: Cross multiply
    177,844x = 266,138 × 266,138
  4. Step 4: Simplify right side
    177,844x = 70,829,435,044
  5. Step 5: Solve for x
    x = 70,829,435,044/177,844
  6. Step 6: Final answer
    x = 398,267.22

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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.