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Finding the Third Proportional to 143,160 and 323,439

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Solution

The third proportional to 143,160 and 323,439 is: 730,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,160 : 323,439 = 323,439 : x
  2. Step 2: Convert to fraction form
    143,160/323,439 = 323,439/x
  3. Step 3: Cross multiply
    143,160x = 323,439 × 323,439
  4. Step 4: Simplify right side
    143,160x = 104,612,786,721
  5. Step 5: Solve for x
    x = 104,612,786,721/143,160
  6. Step 6: Final answer
    x = 730,740.34

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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.