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Finding the Third Proportional to 199,654.88 and 299,573.44

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Solution

The third proportional to 199,654.88 and 299,573.44 is: 449,496.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,654.88 : 299,573.44 = 299,573.44 : x
  2. Step 2: Convert to fraction form
    199,654.88/299,573.44 = 299,573.44/x
  3. Step 3: Cross multiply
    199,654.88x = 299,573.44 × 299,573.44
  4. Step 4: Simplify right side
    199,654.88x = 89,744,244,455.57
  5. Step 5: Solve for x
    x = 89,744,244,455.57/199,654.88
  6. Step 6: Final answer
    x = 449,496.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.