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Finding the Third Proportional to 215,010 and 300,780

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Solution

The third proportional to 215,010 and 300,780 is: 420,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,010 : 300,780 = 300,780 : x
  2. Step 2: Convert to fraction form
    215,010/300,780 = 300,780/x
  3. Step 3: Cross multiply
    215,010x = 300,780 × 300,780
  4. Step 4: Simplify right side
    215,010x = 90,468,608,400
  5. Step 5: Solve for x
    x = 90,468,608,400/215,010
  6. Step 6: Final answer
    x = 420,764.65

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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.