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Finding the Third Proportional to 177,116 and 263,166

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Solution

The third proportional to 177,116 and 263,166 is: 391,022.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,116 : 263,166 = 263,166 : x
  2. Step 2: Convert to fraction form
    177,116/263,166 = 263,166/x
  3. Step 3: Cross multiply
    177,116x = 263,166 × 263,166
  4. Step 4: Simplify right side
    177,116x = 69,256,343,556
  5. Step 5: Solve for x
    x = 69,256,343,556/177,116
  6. Step 6: Final answer
    x = 391,022.51

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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.