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Finding the Third Proportional to 161,143 and 345,601

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Solution

The third proportional to 161,143 and 345,601 is: 741,205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,143 : 345,601 = 345,601 : x
  2. Step 2: Convert to fraction form
    161,143/345,601 = 345,601/x
  3. Step 3: Cross multiply
    161,143x = 345,601 × 345,601
  4. Step 4: Simplify right side
    161,143x = 119,440,051,201
  5. Step 5: Solve for x
    x = 119,440,051,201/161,143
  6. Step 6: Final answer
    x = 741,205.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.