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Finding the Third Proportional to 74,398.50 and 161,914.50

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Solution

The third proportional to 74,398.50 and 161,914.50 is: 352,376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,398.50 : 161,914.50 = 161,914.50 : x
  2. Step 2: Convert to fraction form
    74,398.50/161,914.50 = 161,914.50/x
  3. Step 3: Cross multiply
    74,398.50x = 161,914.50 × 161,914.50
  4. Step 4: Simplify right side
    74,398.50x = 26,216,305,310.25
  5. Step 5: Solve for x
    x = 26,216,305,310.25/74,398.50
  6. Step 6: Final answer
    x = 352,376.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.