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Finding the Third Proportional to 203,722 and 305,967

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Solution

The third proportional to 203,722 and 305,967 is: 459,527.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,722 : 305,967 = 305,967 : x
  2. Step 2: Convert to fraction form
    203,722/305,967 = 305,967/x
  3. Step 3: Cross multiply
    203,722x = 305,967 × 305,967
  4. Step 4: Simplify right side
    203,722x = 93,615,805,089
  5. Step 5: Solve for x
    x = 93,615,805,089/203,722
  6. Step 6: Final answer
    x = 459,527.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.