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Finding the Third Proportional to 161,739 and 350,965.50

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Solution

The third proportional to 161,739 and 350,965.50 is: 761,577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,739 : 350,965.50 = 350,965.50 : x
  2. Step 2: Convert to fraction form
    161,739/350,965.50 = 350,965.50/x
  3. Step 3: Cross multiply
    161,739x = 350,965.50 × 350,965.50
  4. Step 4: Simplify right side
    161,739x = 123,176,782,190.25
  5. Step 5: Solve for x
    x = 123,176,782,190.25/161,739
  6. Step 6: Final answer
    x = 761,577.49

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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.