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Finding the Third Proportional to 167,544 and 262,260

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Solution

The third proportional to 167,544 and 262,260 is: 410,520.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,544 : 262,260 = 262,260 : x
  2. Step 2: Convert to fraction form
    167,544/262,260 = 262,260/x
  3. Step 3: Cross multiply
    167,544x = 262,260 × 262,260
  4. Step 4: Simplify right side
    167,544x = 68,780,307,600
  5. Step 5: Solve for x
    x = 68,780,307,600/167,544
  6. Step 6: Final answer
    x = 410,520.86

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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.