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Finding the Third Proportional to 194,016 and 291,273

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Solution

The third proportional to 194,016 and 291,273 is: 437,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,016 : 291,273 = 291,273 : x
  2. Step 2: Convert to fraction form
    194,016/291,273 = 291,273/x
  3. Step 3: Cross multiply
    194,016x = 291,273 × 291,273
  4. Step 4: Simplify right side
    194,016x = 84,839,960,529
  5. Step 5: Solve for x
    x = 84,839,960,529/194,016
  6. Step 6: Final answer
    x = 437,283.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.