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Finding the Third Proportional to 167,680 and 363,944

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Solution

The third proportional to 167,680 and 363,944 is: 789,928.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,680 : 363,944 = 363,944 : x
  2. Step 2: Convert to fraction form
    167,680/363,944 = 363,944/x
  3. Step 3: Cross multiply
    167,680x = 363,944 × 363,944
  4. Step 4: Simplify right side
    167,680x = 132,455,235,136
  5. Step 5: Solve for x
    x = 132,455,235,136/167,680
  6. Step 6: Final answer
    x = 789,928.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.