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Finding the Third Proportional to 167,358 and 234,082

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Solution

The third proportional to 167,358 and 234,082 is: 327,408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,358 : 234,082 = 234,082 : x
  2. Step 2: Convert to fraction form
    167,358/234,082 = 234,082/x
  3. Step 3: Cross multiply
    167,358x = 234,082 × 234,082
  4. Step 4: Simplify right side
    167,358x = 54,794,382,724
  5. Step 5: Solve for x
    x = 54,794,382,724/167,358
  6. Step 6: Final answer
    x = 327,408.21

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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.