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Finding the Third Proportional to 167,647.50 and 361,431

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Solution

The third proportional to 167,647.50 and 361,431 is: 779,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,647.50 : 361,431 = 361,431 : x
  2. Step 2: Convert to fraction form
    167,647.50/361,431 = 361,431/x
  3. Step 3: Cross multiply
    167,647.50x = 361,431 × 361,431
  4. Step 4: Simplify right side
    167,647.50x = 130,632,367,761
  5. Step 5: Solve for x
    x = 130,632,367,761/167,647.50
  6. Step 6: Final answer
    x = 779,208.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.