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Finding the Third Proportional to 210,749 and 451,126

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Solution

The third proportional to 210,749 and 451,126 is: 965,673.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,749 : 451,126 = 451,126 : x
  2. Step 2: Convert to fraction form
    210,749/451,126 = 451,126/x
  3. Step 3: Cross multiply
    210,749x = 451,126 × 451,126
  4. Step 4: Simplify right side
    210,749x = 203,514,667,876
  5. Step 5: Solve for x
    x = 203,514,667,876/210,749
  6. Step 6: Final answer
    x = 965,673.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.