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Finding the Third Proportional to 194,016.50 and 283,481

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Solution

The third proportional to 194,016.50 and 283,481 is: 414,199.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,016.50 : 283,481 = 283,481 : x
  2. Step 2: Convert to fraction form
    194,016.50/283,481 = 283,481/x
  3. Step 3: Cross multiply
    194,016.50x = 283,481 × 283,481
  4. Step 4: Simplify right side
    194,016.50x = 80,361,477,361
  5. Step 5: Solve for x
    x = 80,361,477,361/194,016.50
  6. Step 6: Final answer
    x = 414,199.19

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.