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Finding the Third Proportional to 143,834 and 223,324

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Solution

The third proportional to 143,834 and 223,324 is: 346,744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,834 : 223,324 = 223,324 : x
  2. Step 2: Convert to fraction form
    143,834/223,324 = 223,324/x
  3. Step 3: Cross multiply
    143,834x = 223,324 × 223,324
  4. Step 4: Simplify right side
    143,834x = 49,873,608,976
  5. Step 5: Solve for x
    x = 49,873,608,976/143,834
  6. Step 6: Final answer
    x = 346,744.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.