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Finding the Third Proportional to 143,496 and 223,446

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Solution

The third proportional to 143,496 and 223,446 is: 347,940.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,496 : 223,446 = 223,446 : x
  2. Step 2: Convert to fraction form
    143,496/223,446 = 223,446/x
  3. Step 3: Cross multiply
    143,496x = 223,446 × 223,446
  4. Step 4: Simplify right side
    143,496x = 49,928,114,916
  5. Step 5: Solve for x
    x = 49,928,114,916/143,496
  6. Step 6: Final answer
    x = 347,940.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.