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Finding the Third Proportional to 177,310 and 266,104

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Solution

The third proportional to 177,310 and 266,104 is: 399,364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,310 : 266,104 = 266,104 : x
  2. Step 2: Convert to fraction form
    177,310/266,104 = 266,104/x
  3. Step 3: Cross multiply
    177,310x = 266,104 × 266,104
  4. Step 4: Simplify right side
    177,310x = 70,811,338,816
  5. Step 5: Solve for x
    x = 70,811,338,816/177,310
  6. Step 6: Final answer
    x = 399,364.61

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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.