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Finding the Third Proportional to 177,322 and 266,162

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Solution

The third proportional to 177,322 and 266,162 is: 399,511.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,322 : 266,162 = 266,162 : x
  2. Step 2: Convert to fraction form
    177,322/266,162 = 266,162/x
  3. Step 3: Cross multiply
    177,322x = 266,162 × 266,162
  4. Step 4: Simplify right side
    177,322x = 70,842,210,244
  5. Step 5: Solve for x
    x = 70,842,210,244/177,322
  6. Step 6: Final answer
    x = 399,511.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.