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Finding the Third Proportional to 163,224 and 345,744

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Solution

The third proportional to 163,224 and 345,744 is: 732,361.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,224 : 345,744 = 345,744 : x
  2. Step 2: Convert to fraction form
    163,224/345,744 = 345,744/x
  3. Step 3: Cross multiply
    163,224x = 345,744 × 345,744
  4. Step 4: Simplify right side
    163,224x = 119,538,913,536
  5. Step 5: Solve for x
    x = 119,538,913,536/163,224
  6. Step 6: Final answer
    x = 732,361.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.