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Finding the Third Proportional to 167,431.50 and 255,078

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Solution

The third proportional to 167,431.50 and 255,078 is: 388,605.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,431.50 : 255,078 = 255,078 : x
  2. Step 2: Convert to fraction form
    167,431.50/255,078 = 255,078/x
  3. Step 3: Cross multiply
    167,431.50x = 255,078 × 255,078
  4. Step 4: Simplify right side
    167,431.50x = 65,064,786,084
  5. Step 5: Solve for x
    x = 65,064,786,084/167,431.50
  6. Step 6: Final answer
    x = 388,605.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.