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Finding the Third Proportional to 135,983 and 293,836

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Solution

The third proportional to 135,983 and 293,836 is: 634,929.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,983 : 293,836 = 293,836 : x
  2. Step 2: Convert to fraction form
    135,983/293,836 = 293,836/x
  3. Step 3: Cross multiply
    135,983x = 293,836 × 293,836
  4. Step 4: Simplify right side
    135,983x = 86,339,594,896
  5. Step 5: Solve for x
    x = 86,339,594,896/135,983
  6. Step 6: Final answer
    x = 634,929.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.