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Finding the Third Proportional to 177,114 and 263,163

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Solution

The third proportional to 177,114 and 263,163 is: 391,018.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,114 : 263,163 = 263,163 : x
  2. Step 2: Convert to fraction form
    177,114/263,163 = 263,163/x
  3. Step 3: Cross multiply
    177,114x = 263,163 × 263,163
  4. Step 4: Simplify right side
    177,114x = 69,254,764,569
  5. Step 5: Solve for x
    x = 69,254,764,569/177,114
  6. Step 6: Final answer
    x = 391,018.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.