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Finding the Third Proportional to 213,601.50 and 467,100

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Solution

The third proportional to 213,601.50 and 467,100 is: 1,021,446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,601.50 : 467,100 = 467,100 : x
  2. Step 2: Convert to fraction form
    213,601.50/467,100 = 467,100/x
  3. Step 3: Cross multiply
    213,601.50x = 467,100 × 467,100
  4. Step 4: Simplify right side
    213,601.50x = 218,182,410,000
  5. Step 5: Solve for x
    x = 218,182,410,000/213,601.50
  6. Step 6: Final answer
    x = 1,021,446.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.