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Finding the Third Proportional to 194,200.88 and 298,093.50

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Solution

The third proportional to 194,200.88 and 298,093.50 is: 457,566.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,200.88 : 298,093.50 = 298,093.50 : x
  2. Step 2: Convert to fraction form
    194,200.88/298,093.50 = 298,093.50/x
  3. Step 3: Cross multiply
    194,200.88x = 298,093.50 × 298,093.50
  4. Step 4: Simplify right side
    194,200.88x = 88,859,734,742.25
  5. Step 5: Solve for x
    x = 88,859,734,742.25/194,200.88
  6. Step 6: Final answer
    x = 457,566.09

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.