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Finding the Third Proportional to 194,055 and 311,584

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Solution

The third proportional to 194,055 and 311,584 is: 500,294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,055 : 311,584 = 311,584 : x
  2. Step 2: Convert to fraction form
    194,055/311,584 = 311,584/x
  3. Step 3: Cross multiply
    194,055x = 311,584 × 311,584
  4. Step 4: Simplify right side
    194,055x = 97,084,589,056
  5. Step 5: Solve for x
    x = 97,084,589,056/194,055
  6. Step 6: Final answer
    x = 500,294.19

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.