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Finding the Third Proportional to 215,037 and 300,759

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Solution

The third proportional to 215,037 and 300,759 is: 420,653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,037 : 300,759 = 300,759 : x
  2. Step 2: Convert to fraction form
    215,037/300,759 = 300,759/x
  3. Step 3: Cross multiply
    215,037x = 300,759 × 300,759
  4. Step 4: Simplify right side
    215,037x = 90,455,976,081
  5. Step 5: Solve for x
    x = 90,455,976,081/215,037
  6. Step 6: Final answer
    x = 420,653.08

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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.