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Finding the Third Proportional to 198,401.63 and 298,054.88

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Solution

The third proportional to 198,401.63 and 298,054.88 is: 447,762.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,401.63 : 298,054.88 = 298,054.88 : x
  2. Step 2: Convert to fraction form
    198,401.63/298,054.88 = 298,054.88/x
  3. Step 3: Cross multiply
    198,401.63x = 298,054.88 × 298,054.88
  4. Step 4: Simplify right side
    198,401.63x = 88,836,708,511.27
  5. Step 5: Solve for x
    x = 88,836,708,511.27/198,401.63
  6. Step 6: Final answer
    x = 447,762.00

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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.