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Finding the Third Proportional to 167,184.75 and 256,609.13

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Solution

The third proportional to 167,184.75 and 256,609.13 is: 393,865.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,184.75 : 256,609.13 = 256,609.13 : x
  2. Step 2: Convert to fraction form
    167,184.75/256,609.13 = 256,609.13/x
  3. Step 3: Cross multiply
    167,184.75x = 256,609.13 × 256,609.13
  4. Step 4: Simplify right side
    167,184.75x = 65,848,243,033.27
  5. Step 5: Solve for x
    x = 65,848,243,033.27/167,184.75
  6. Step 6: Final answer
    x = 393,865.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.