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Finding the Third Proportional to 203,861 and 293,641

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Solution

The third proportional to 203,861 and 293,641 is: 422,959.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,861 : 293,641 = 293,641 : x
  2. Step 2: Convert to fraction form
    203,861/293,641 = 293,641/x
  3. Step 3: Cross multiply
    203,861x = 293,641 × 293,641
  4. Step 4: Simplify right side
    203,861x = 86,225,036,881
  5. Step 5: Solve for x
    x = 86,225,036,881/203,861
  6. Step 6: Final answer
    x = 422,959.94

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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.