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Finding the Third Proportional to 143,161 and 323,441

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Solution

The third proportional to 143,161 and 323,441 is: 730,744.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,161 : 323,441 = 323,441 : x
  2. Step 2: Convert to fraction form
    143,161/323,441 = 323,441/x
  3. Step 3: Cross multiply
    143,161x = 323,441 × 323,441
  4. Step 4: Simplify right side
    143,161x = 104,614,080,481
  5. Step 5: Solve for x
    x = 104,614,080,481/143,161
  6. Step 6: Final answer
    x = 730,744.27

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.