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Finding the Third Proportional to 202,950 and 436,140

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Solution

The third proportional to 202,950 and 436,140 is: 937,265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,950 : 436,140 = 436,140 : x
  2. Step 2: Convert to fraction form
    202,950/436,140 = 436,140/x
  3. Step 3: Cross multiply
    202,950x = 436,140 × 436,140
  4. Step 4: Simplify right side
    202,950x = 190,218,099,600
  5. Step 5: Solve for x
    x = 190,218,099,600/202,950
  6. Step 6: Final answer
    x = 937,265.83

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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.