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Finding the Third Proportional to 236,400 and 354,600

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Solution

The third proportional to 236,400 and 354,600 is: 531,900

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,400 : 354,600 = 354,600 : x
  2. Step 2: Convert to fraction form
    236,400/354,600 = 354,600/x
  3. Step 3: Cross multiply
    236,400x = 354,600 × 354,600
  4. Step 4: Simplify right side
    236,400x = 125,741,160,000
  5. Step 5: Solve for x
    x = 125,741,160,000/236,400
  6. Step 6: Final answer
    x = 531,900

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