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Finding the Third Proportional to 133,056 and 194,400

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Solution

The third proportional to 133,056 and 194,400 is: 284,025.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,056 : 194,400 = 194,400 : x
  2. Step 2: Convert to fraction form
    133,056/194,400 = 194,400/x
  3. Step 3: Cross multiply
    133,056x = 194,400 × 194,400
  4. Step 4: Simplify right side
    133,056x = 37,791,360,000
  5. Step 5: Solve for x
    x = 37,791,360,000/133,056
  6. Step 6: Final answer
    x = 284,025.97

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Why These Related Problems?

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