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Finding the Third Proportional to 198,034.88 and 298,004.06

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Solution

The third proportional to 198,034.88 and 298,004.06 is: 448,438.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,034.88 : 298,004.06 = 298,004.06 : x
  2. Step 2: Convert to fraction form
    198,034.88/298,004.06 = 298,004.06/x
  3. Step 3: Cross multiply
    198,034.88x = 298,004.06 × 298,004.06
  4. Step 4: Simplify right side
    198,034.88x = 88,806,421,266.50
  5. Step 5: Solve for x
    x = 88,806,421,266.50/198,034.88
  6. Step 6: Final answer
    x = 448,438.29

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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.