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Finding the Third Proportional to 161,061 and 343,449

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Solution

The third proportional to 161,061 and 343,449 is: 732,376.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,061 : 343,449 = 343,449 : x
  2. Step 2: Convert to fraction form
    161,061/343,449 = 343,449/x
  3. Step 3: Cross multiply
    161,061x = 343,449 × 343,449
  4. Step 4: Simplify right side
    161,061x = 117,957,215,601
  5. Step 5: Solve for x
    x = 117,957,215,601/161,061
  6. Step 6: Final answer
    x = 732,376.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.