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Finding the Third Proportional to 191,201.50 and 412,337.50

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Solution

The third proportional to 191,201.50 and 412,337.50 is: 889,230.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,201.50 : 412,337.50 = 412,337.50 : x
  2. Step 2: Convert to fraction form
    191,201.50/412,337.50 = 412,337.50/x
  3. Step 3: Cross multiply
    191,201.50x = 412,337.50 × 412,337.50
  4. Step 4: Simplify right side
    191,201.50x = 170,022,213,906.25
  5. Step 5: Solve for x
    x = 170,022,213,906.25/191,201.50
  6. Step 6: Final answer
    x = 889,230.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.