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Finding the Third Proportional to 177,324 and 266,166

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Solution

The third proportional to 177,324 and 266,166 is: 399,519.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,324 : 266,166 = 266,166 : x
  2. Step 2: Convert to fraction form
    177,324/266,166 = 266,166/x
  3. Step 3: Cross multiply
    177,324x = 266,166 × 266,166
  4. Step 4: Simplify right side
    177,324x = 70,844,339,556
  5. Step 5: Solve for x
    x = 70,844,339,556/177,324
  6. Step 6: Final answer
    x = 399,519.18

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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.