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Finding the Third Proportional to 167,823 and 234,642

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Solution

The third proportional to 167,823 and 234,642 is: 328,065.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,823 : 234,642 = 234,642 : x
  2. Step 2: Convert to fraction form
    167,823/234,642 = 234,642/x
  3. Step 3: Cross multiply
    167,823x = 234,642 × 234,642
  4. Step 4: Simplify right side
    167,823x = 55,056,868,164
  5. Step 5: Solve for x
    x = 55,056,868,164/167,823
  6. Step 6: Final answer
    x = 328,065.09

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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.