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Finding the Third Proportional to 203,972 and 293,781

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Solution

The third proportional to 203,972 and 293,781 is: 423,132.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,972 : 293,781 = 293,781 : x
  2. Step 2: Convert to fraction form
    203,972/293,781 = 293,781/x
  3. Step 3: Cross multiply
    203,972x = 293,781 × 293,781
  4. Step 4: Simplify right side
    203,972x = 86,307,275,961
  5. Step 5: Solve for x
    x = 86,307,275,961/203,972
  6. Step 6: Final answer
    x = 423,132.96

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.