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Finding the Third Proportional to 203,858 and 293,638

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Solution

The third proportional to 203,858 and 293,638 is: 422,957.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,858 : 293,638 = 293,638 : x
  2. Step 2: Convert to fraction form
    203,858/293,638 = 293,638/x
  3. Step 3: Cross multiply
    203,858x = 293,638 × 293,638
  4. Step 4: Simplify right side
    203,858x = 86,223,275,044
  5. Step 5: Solve for x
    x = 86,223,275,044/203,858
  6. Step 6: Final answer
    x = 422,957.52

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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.