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Finding the Third Proportional to 194,249 and 300,000

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Solution

The third proportional to 194,249 and 300,000 is: 463,322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,249 : 300,000 = 300,000 : x
  2. Step 2: Convert to fraction form
    194,249/300,000 = 300,000/x
  3. Step 3: Cross multiply
    194,249x = 300,000 × 300,000
  4. Step 4: Simplify right side
    194,249x = 90,000,000,000
  5. Step 5: Solve for x
    x = 90,000,000,000/194,249
  6. Step 6: Final answer
    x = 463,322.85

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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.