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Finding the Third Proportional to 198,031.50 and 297,995.63

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Solution

The third proportional to 198,031.50 and 297,995.63 is: 448,420.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,031.50 : 297,995.63 = 297,995.63 : x
  2. Step 2: Convert to fraction form
    198,031.50/297,995.63 = 297,995.63/x
  3. Step 3: Cross multiply
    198,031.50x = 297,995.63 × 297,995.63
  4. Step 4: Simplify right side
    198,031.50x = 88,801,392,519.14
  5. Step 5: Solve for x
    x = 88,801,392,519.14/198,031.50
  6. Step 6: Final answer
    x = 448,420.54

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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.