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Finding the Third Proportional to 161,661 and 350,970

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Solution

The third proportional to 161,661 and 350,970 is: 761,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,661 : 350,970 = 350,970 : x
  2. Step 2: Convert to fraction form
    161,661/350,970 = 350,970/x
  3. Step 3: Cross multiply
    161,661x = 350,970 × 350,970
  4. Step 4: Simplify right side
    161,661x = 123,179,940,900
  5. Step 5: Solve for x
    x = 123,179,940,900/161,661
  6. Step 6: Final answer
    x = 761,964.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.