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Finding the Third Proportional to 202,659 and 438,850.50

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Solution

The third proportional to 202,659 and 438,850.50 is: 950,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,659 : 438,850.50 = 438,850.50 : x
  2. Step 2: Convert to fraction form
    202,659/438,850.50 = 438,850.50/x
  3. Step 3: Cross multiply
    202,659x = 438,850.50 × 438,850.50
  4. Step 4: Simplify right side
    202,659x = 192,589,761,350.25
  5. Step 5: Solve for x
    x = 192,589,761,350.25/202,659
  6. Step 6: Final answer
    x = 950,314.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.