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Finding the Third Proportional to 161,703 and 347,727

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Solution

The third proportional to 161,703 and 347,727 is: 747,754.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,703 : 347,727 = 347,727 : x
  2. Step 2: Convert to fraction form
    161,703/347,727 = 347,727/x
  3. Step 3: Cross multiply
    161,703x = 347,727 × 347,727
  4. Step 4: Simplify right side
    161,703x = 120,914,066,529
  5. Step 5: Solve for x
    x = 120,914,066,529/161,703
  6. Step 6: Final answer
    x = 747,754.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.