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Finding the Third Proportional to 161,692 and 343,795

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Solution

The third proportional to 161,692 and 343,795 is: 730,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,692 : 343,795 = 343,795 : x
  2. Step 2: Convert to fraction form
    161,692/343,795 = 343,795/x
  3. Step 3: Cross multiply
    161,692x = 343,795 × 343,795
  4. Step 4: Simplify right side
    161,692x = 118,195,002,025
  5. Step 5: Solve for x
    x = 118,195,002,025/161,692
  6. Step 6: Final answer
    x = 730,988.56

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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.