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Finding the Third Proportional to 166,510.69 and 259,974.56

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Solution

The third proportional to 166,510.69 and 259,974.56 is: 405,900.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,510.69 : 259,974.56 = 259,974.56 : x
  2. Step 2: Convert to fraction form
    166,510.69/259,974.56 = 259,974.56/x
  3. Step 3: Cross multiply
    166,510.69x = 259,974.56 × 259,974.56
  4. Step 4: Simplify right side
    166,510.69x = 67,586,773,147.07
  5. Step 5: Solve for x
    x = 67,586,773,147.07/166,510.69
  6. Step 6: Final answer
    x = 405,900.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.