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Finding the Third Proportional to 227,671.50 and 334,125

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Solution

The third proportional to 227,671.50 and 334,125 is: 490,353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,671.50 : 334,125 = 334,125 : x
  2. Step 2: Convert to fraction form
    227,671.50/334,125 = 334,125/x
  3. Step 3: Cross multiply
    227,671.50x = 334,125 × 334,125
  4. Step 4: Simplify right side
    227,671.50x = 111,639,515,625
  5. Step 5: Solve for x
    x = 111,639,515,625/227,671.50
  6. Step 6: Final answer
    x = 490,353.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.