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Finding the Third Proportional to 167,336 and 234,056

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Solution

The third proportional to 167,336 and 234,056 is: 327,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,336 : 234,056 = 234,056 : x
  2. Step 2: Convert to fraction form
    167,336/234,056 = 234,056/x
  3. Step 3: Cross multiply
    167,336x = 234,056 × 234,056
  4. Step 4: Simplify right side
    167,336x = 54,782,211,136
  5. Step 5: Solve for x
    x = 54,782,211,136/167,336
  6. Step 6: Final answer
    x = 327,378.51

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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.