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Finding the Third Proportional to 210,837 and 451,806

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Solution

The third proportional to 210,837 and 451,806 is: 968,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,837 : 451,806 = 451,806 : x
  2. Step 2: Convert to fraction form
    210,837/451,806 = 451,806/x
  3. Step 3: Cross multiply
    210,837x = 451,806 × 451,806
  4. Step 4: Simplify right side
    210,837x = 204,128,661,636
  5. Step 5: Solve for x
    x = 204,128,661,636/210,837
  6. Step 6: Final answer
    x = 968,182.35

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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.