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Finding the Third Proportional to 161,181 and 230,823

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Solution

The third proportional to 161,181 and 230,823 is: 330,555.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,181 : 230,823 = 230,823 : x
  2. Step 2: Convert to fraction form
    161,181/230,823 = 230,823/x
  3. Step 3: Cross multiply
    161,181x = 230,823 × 230,823
  4. Step 4: Simplify right side
    161,181x = 53,279,257,329
  5. Step 5: Solve for x
    x = 53,279,257,329/161,181
  6. Step 6: Final answer
    x = 330,555.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.