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Finding the Third Proportional to 203,976 and 293,786

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Solution

The third proportional to 203,976 and 293,786 is: 423,139.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,976 : 293,786 = 293,786 : x
  2. Step 2: Convert to fraction form
    203,976/293,786 = 293,786/x
  3. Step 3: Cross multiply
    203,976x = 293,786 × 293,786
  4. Step 4: Simplify right side
    203,976x = 86,310,213,796
  5. Step 5: Solve for x
    x = 86,310,213,796/203,976
  6. Step 6: Final answer
    x = 423,139.06

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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.