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Finding the Third Proportional to 206,953.50 and 453,651

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Solution

The third proportional to 206,953.50 and 453,651 is: 994,422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,953.50 : 453,651 = 453,651 : x
  2. Step 2: Convert to fraction form
    206,953.50/453,651 = 453,651/x
  3. Step 3: Cross multiply
    206,953.50x = 453,651 × 453,651
  4. Step 4: Simplify right side
    206,953.50x = 205,799,229,801
  5. Step 5: Solve for x
    x = 205,799,229,801/206,953.50
  6. Step 6: Final answer
    x = 994,422.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.