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Finding the Third Proportional to 199,483.88 and 298,519.88

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Solution

The third proportional to 199,483.88 and 298,519.88 is: 446,723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,483.88 : 298,519.88 = 298,519.88 : x
  2. Step 2: Convert to fraction form
    199,483.88/298,519.88 = 298,519.88/x
  3. Step 3: Cross multiply
    199,483.88x = 298,519.88 × 298,519.88
  4. Step 4: Simplify right side
    199,483.88x = 89,114,115,770.02
  5. Step 5: Solve for x
    x = 89,114,115,770.02/199,483.88
  6. Step 6: Final answer
    x = 446,723.40

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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.