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Finding the Third Proportional to 161,178.75 and 350,342.44

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Solution

The third proportional to 161,178.75 and 350,342.44 is: 761,513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,178.75 : 350,342.44 = 350,342.44 : x
  2. Step 2: Convert to fraction form
    161,178.75/350,342.44 = 350,342.44/x
  3. Step 3: Cross multiply
    161,178.75x = 350,342.44 × 350,342.44
  4. Step 4: Simplify right side
    161,178.75x = 122,739,823,513.44
  5. Step 5: Solve for x
    x = 122,739,823,513.44/161,178.75
  6. Step 6: Final answer
    x = 761,513.68

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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.