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Finding the Third Proportional to 202,077 and 336,777.75

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Solution

The third proportional to 202,077 and 336,777.75 is: 561,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,077 : 336,777.75 = 336,777.75 : x
  2. Step 2: Convert to fraction form
    202,077/336,777.75 = 336,777.75/x
  3. Step 3: Cross multiply
    202,077x = 336,777.75 × 336,777.75
  4. Step 4: Simplify right side
    202,077x = 113,419,252,895.06
  5. Step 5: Solve for x
    x = 113,419,252,895.06/202,077
  6. Step 6: Final answer
    x = 561,267.50

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.