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Finding the Third Proportional to 167,529.75 and 259,071

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Solution

The third proportional to 167,529.75 and 259,071 is: 400,632.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,529.75 : 259,071 = 259,071 : x
  2. Step 2: Convert to fraction form
    167,529.75/259,071 = 259,071/x
  3. Step 3: Cross multiply
    167,529.75x = 259,071 × 259,071
  4. Step 4: Simplify right side
    167,529.75x = 67,117,783,041
  5. Step 5: Solve for x
    x = 67,117,783,041/167,529.75
  6. Step 6: Final answer
    x = 400,632.03

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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.