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Finding the Third Proportional to 199,827 and 301,806

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Solution

The third proportional to 199,827 and 301,806 is: 455,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,827 : 301,806 = 301,806 : x
  2. Step 2: Convert to fraction form
    199,827/301,806 = 301,806/x
  3. Step 3: Cross multiply
    199,827x = 301,806 × 301,806
  4. Step 4: Simplify right side
    199,827x = 91,086,861,636
  5. Step 5: Solve for x
    x = 91,086,861,636/199,827
  6. Step 6: Final answer
    x = 455,828.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.