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Finding the Third Proportional to 230,400 and 345,600

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Solution

The third proportional to 230,400 and 345,600 is: 518,400

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,400 : 345,600 = 345,600 : x
  2. Step 2: Convert to fraction form
    230,400/345,600 = 345,600/x
  3. Step 3: Cross multiply
    230,400x = 345,600 × 345,600
  4. Step 4: Simplify right side
    230,400x = 119,439,360,000
  5. Step 5: Solve for x
    x = 119,439,360,000/230,400
  6. Step 6: Final answer
    x = 518,400

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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.