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Finding the Third Proportional to 203,823 and 336,868.88

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Solution

The third proportional to 203,823 and 336,868.88 is: 556,760.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,823 : 336,868.88 = 336,868.88 : x
  2. Step 2: Convert to fraction form
    203,823/336,868.88 = 336,868.88/x
  3. Step 3: Cross multiply
    203,823x = 336,868.88 × 336,868.88
  4. Step 4: Simplify right side
    203,823x = 113,480,638,943.77
  5. Step 5: Solve for x
    x = 113,480,638,943.77/203,823
  6. Step 6: Final answer
    x = 556,760.71

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.