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Finding the Third Proportional to 215,039 and 300,762

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Solution

The third proportional to 215,039 and 300,762 is: 420,657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,039 : 300,762 = 300,762 : x
  2. Step 2: Convert to fraction form
    215,039/300,762 = 300,762/x
  3. Step 3: Cross multiply
    215,039x = 300,762 × 300,762
  4. Step 4: Simplify right side
    215,039x = 90,457,780,644
  5. Step 5: Solve for x
    x = 90,457,780,644/215,039
  6. Step 6: Final answer
    x = 420,657.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.