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Finding the Third Proportional to 167,368 and 234,096

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Solution

The third proportional to 167,368 and 234,096 is: 327,427.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,368 : 234,096 = 234,096 : x
  2. Step 2: Convert to fraction form
    167,368/234,096 = 234,096/x
  3. Step 3: Cross multiply
    167,368x = 234,096 × 234,096
  4. Step 4: Simplify right side
    167,368x = 54,800,937,216
  5. Step 5: Solve for x
    x = 54,800,937,216/167,368
  6. Step 6: Final answer
    x = 327,427.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.