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Finding the Third Proportional to 204,660 and 293,814

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Solution

The third proportional to 204,660 and 293,814 is: 421,805.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,660 : 293,814 = 293,814 : x
  2. Step 2: Convert to fraction form
    204,660/293,814 = 293,814/x
  3. Step 3: Cross multiply
    204,660x = 293,814 × 293,814
  4. Step 4: Simplify right side
    204,660x = 86,326,666,596
  5. Step 5: Solve for x
    x = 86,326,666,596/204,660
  6. Step 6: Final answer
    x = 421,805.27

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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.