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Finding the Third Proportional to 194,400 and 291,600

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Solution

The third proportional to 194,400 and 291,600 is: 437,400

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,400 : 291,600 = 291,600 : x
  2. Step 2: Convert to fraction form
    194,400/291,600 = 291,600/x
  3. Step 3: Cross multiply
    194,400x = 291,600 × 291,600
  4. Step 4: Simplify right side
    194,400x = 85,030,560,000
  5. Step 5: Solve for x
    x = 85,030,560,000/194,400
  6. Step 6: Final answer
    x = 437,400

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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.