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Finding the Third Proportional to 167,524 and 259,060

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Solution

The third proportional to 167,524 and 259,060 is: 400,611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,524 : 259,060 = 259,060 : x
  2. Step 2: Convert to fraction form
    167,524/259,060 = 259,060/x
  3. Step 3: Cross multiply
    167,524x = 259,060 × 259,060
  4. Step 4: Simplify right side
    167,524x = 67,112,083,600
  5. Step 5: Solve for x
    x = 67,112,083,600/167,524
  6. Step 6: Final answer
    x = 400,611.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.