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Finding the Third Proportional to 161,641 and 350,930

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Solution

The third proportional to 161,641 and 350,930 is: 761,885.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,641 : 350,930 = 350,930 : x
  2. Step 2: Convert to fraction form
    161,641/350,930 = 350,930/x
  3. Step 3: Cross multiply
    161,641x = 350,930 × 350,930
  4. Step 4: Simplify right side
    161,641x = 123,151,864,900
  5. Step 5: Solve for x
    x = 123,151,864,900/161,641
  6. Step 6: Final answer
    x = 761,885.07

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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.