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Finding the Third Proportional to 203,966 and 293,772

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Solution

The third proportional to 203,966 and 293,772 is: 423,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,966 : 293,772 = 293,772 : x
  2. Step 2: Convert to fraction form
    203,966/293,772 = 293,772/x
  3. Step 3: Cross multiply
    203,966x = 293,772 × 293,772
  4. Step 4: Simplify right side
    203,966x = 86,301,987,984
  5. Step 5: Solve for x
    x = 86,301,987,984/203,966
  6. Step 6: Final answer
    x = 423,119.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.