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Finding the Third Proportional to 211,806 and 453,150

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Solution

The third proportional to 211,806 and 453,150 is: 969,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,806 : 453,150 = 453,150 : x
  2. Step 2: Convert to fraction form
    211,806/453,150 = 453,150/x
  3. Step 3: Cross multiply
    211,806x = 453,150 × 453,150
  4. Step 4: Simplify right side
    211,806x = 205,344,922,500
  5. Step 5: Solve for x
    x = 205,344,922,500/211,806
  6. Step 6: Final answer
    x = 969,495.30

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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.