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Finding the Third Proportional to 214,273.50 and 446,280

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Solution

The third proportional to 214,273.50 and 446,280 is: 929,493.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,273.50 : 446,280 = 446,280 : x
  2. Step 2: Convert to fraction form
    214,273.50/446,280 = 446,280/x
  3. Step 3: Cross multiply
    214,273.50x = 446,280 × 446,280
  4. Step 4: Simplify right side
    214,273.50x = 199,165,838,400
  5. Step 5: Solve for x
    x = 199,165,838,400/214,273.50
  6. Step 6: Final answer
    x = 929,493.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.