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Finding the Third Proportional to 161,138.50 and 345,593

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Solution

The third proportional to 161,138.50 and 345,593 is: 741,191.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,138.50 : 345,593 = 345,593 : x
  2. Step 2: Convert to fraction form
    161,138.50/345,593 = 345,593/x
  3. Step 3: Cross multiply
    161,138.50x = 345,593 × 345,593
  4. Step 4: Simplify right side
    161,138.50x = 119,434,521,649
  5. Step 5: Solve for x
    x = 119,434,521,649/161,138.50
  6. Step 6: Final answer
    x = 741,191.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.