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Finding the Third Proportional to 161,896 and 347,579

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Solution

The third proportional to 161,896 and 347,579 is: 746,226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,896 : 347,579 = 347,579 : x
  2. Step 2: Convert to fraction form
    161,896/347,579 = 347,579/x
  3. Step 3: Cross multiply
    161,896x = 347,579 × 347,579
  4. Step 4: Simplify right side
    161,896x = 120,811,161,241
  5. Step 5: Solve for x
    x = 120,811,161,241/161,896
  6. Step 6: Final answer
    x = 746,226.97

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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.