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Finding the Third Proportional to 161,188.73 and 340,010.16

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Solution

The third proportional to 161,188.73 and 340,010.16 is: 717,214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,188.73 : 340,010.16 = 340,010.16 : x
  2. Step 2: Convert to fraction form
    161,188.73/340,010.16 = 340,010.16/x
  3. Step 3: Cross multiply
    161,188.73x = 340,010.16 × 340,010.16
  4. Step 4: Simplify right side
    161,188.73x = 115,606,906,353.15
  5. Step 5: Solve for x
    x = 115,606,906,353.15/161,188.73
  6. Step 6: Final answer
    x = 717,214.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.