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Finding the Third Proportional to 167,872 and 234,688

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Solution

The third proportional to 167,872 and 234,688 is: 328,097.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,872 : 234,688 = 234,688 : x
  2. Step 2: Convert to fraction form
    167,872/234,688 = 234,688/x
  3. Step 3: Cross multiply
    167,872x = 234,688 × 234,688
  4. Step 4: Simplify right side
    167,872x = 55,078,457,344
  5. Step 5: Solve for x
    x = 55,078,457,344/167,872
  6. Step 6: Final answer
    x = 328,097.94

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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.