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Finding the Third Proportional to 203,968 and 293,775

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Solution

The third proportional to 203,968 and 293,775 is: 423,123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,968 : 293,775 = 293,775 : x
  2. Step 2: Convert to fraction form
    203,968/293,775 = 293,775/x
  3. Step 3: Cross multiply
    203,968x = 293,775 × 293,775
  4. Step 4: Simplify right side
    203,968x = 86,303,750,625
  5. Step 5: Solve for x
    x = 86,303,750,625/203,968
  6. Step 6: Final answer
    x = 423,123.97

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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.