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Finding the Third Proportional to 202,998 and 437,100

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Solution

The third proportional to 202,998 and 437,100 is: 941,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,998 : 437,100 = 437,100 : x
  2. Step 2: Convert to fraction form
    202,998/437,100 = 437,100/x
  3. Step 3: Cross multiply
    202,998x = 437,100 × 437,100
  4. Step 4: Simplify right side
    202,998x = 191,056,410,000
  5. Step 5: Solve for x
    x = 191,056,410,000/202,998
  6. Step 6: Final answer
    x = 941,173.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.