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Finding the Third Proportional to 194,721 and 300,679.50

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Solution

The third proportional to 194,721 and 300,679.50 is: 464,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,721 : 300,679.50 = 300,679.50 : x
  2. Step 2: Convert to fraction form
    194,721/300,679.50 = 300,679.50/x
  3. Step 3: Cross multiply
    194,721x = 300,679.50 × 300,679.50
  4. Step 4: Simplify right side
    194,721x = 90,408,161,720.25
  5. Step 5: Solve for x
    x = 90,408,161,720.25/194,721
  6. Step 6: Final answer
    x = 464,295.90

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.