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Finding the Third Proportional to 194,016 and 289,829.13

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Solution

The third proportional to 194,016 and 289,829.13 is: 432,958.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,016 : 289,829.13 = 289,829.13 : x
  2. Step 2: Convert to fraction form
    194,016/289,829.13 = 289,829.13/x
  3. Step 3: Cross multiply
    194,016x = 289,829.13 × 289,829.13
  4. Step 4: Simplify right side
    194,016x = 84,000,921,698.27
  5. Step 5: Solve for x
    x = 84,000,921,698.27/194,016
  6. Step 6: Final answer
    x = 432,958.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.