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Finding the Third Proportional to 166,455 and 260,838.56

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Solution

The third proportional to 166,455 and 260,838.56 is: 408,739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,455 : 260,838.56 = 260,838.56 : x
  2. Step 2: Convert to fraction form
    166,455/260,838.56 = 260,838.56/x
  3. Step 3: Cross multiply
    166,455x = 260,838.56 × 260,838.56
  4. Step 4: Simplify right side
    166,455x = 68,036,755,687.07
  5. Step 5: Solve for x
    x = 68,036,755,687.07/166,455
  6. Step 6: Final answer
    x = 408,739.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.