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Finding the Third Proportional to 161,589.50 and 347,167

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Solution

The third proportional to 161,589.50 and 347,167 is: 745,871.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,589.50 : 347,167 = 347,167 : x
  2. Step 2: Convert to fraction form
    161,589.50/347,167 = 347,167/x
  3. Step 3: Cross multiply
    161,589.50x = 347,167 × 347,167
  4. Step 4: Simplify right side
    161,589.50x = 120,524,925,889
  5. Step 5: Solve for x
    x = 120,524,925,889/161,589.50
  6. Step 6: Final answer
    x = 745,871.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.