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Finding the Third Proportional to 177,836 and 266,761

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Solution

The third proportional to 177,836 and 266,761 is: 400,152.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,836 : 266,761 = 266,761 : x
  2. Step 2: Convert to fraction form
    177,836/266,761 = 266,761/x
  3. Step 3: Cross multiply
    177,836x = 266,761 × 266,761
  4. Step 4: Simplify right side
    177,836x = 71,161,431,121
  5. Step 5: Solve for x
    x = 71,161,431,121/177,836
  6. Step 6: Final answer
    x = 400,152.00

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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.