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Finding the Third Proportional to 177,848 and 266,144

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Solution

The third proportional to 177,848 and 266,144 is: 398,276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,848 : 266,144 = 266,144 : x
  2. Step 2: Convert to fraction form
    177,848/266,144 = 266,144/x
  3. Step 3: Cross multiply
    177,848x = 266,144 × 266,144
  4. Step 4: Simplify right side
    177,848x = 70,832,628,736
  5. Step 5: Solve for x
    x = 70,832,628,736/177,848
  6. Step 6: Final answer
    x = 398,276.22

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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.