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Finding the Third Proportional to 214,285.50 and 452,427

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Solution

The third proportional to 214,285.50 and 452,427 is: 955,221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,285.50 : 452,427 = 452,427 : x
  2. Step 2: Convert to fraction form
    214,285.50/452,427 = 452,427/x
  3. Step 3: Cross multiply
    214,285.50x = 452,427 × 452,427
  4. Step 4: Simplify right side
    214,285.50x = 204,690,190,329
  5. Step 5: Solve for x
    x = 204,690,190,329/214,285.50
  6. Step 6: Final answer
    x = 955,221.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.