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Finding the Third Proportional to 203,886 and 299,826

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Solution

The third proportional to 203,886 and 299,826 is: 440,911.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,886 : 299,826 = 299,826 : x
  2. Step 2: Convert to fraction form
    203,886/299,826 = 299,826/x
  3. Step 3: Cross multiply
    203,886x = 299,826 × 299,826
  4. Step 4: Simplify right side
    203,886x = 89,895,630,276
  5. Step 5: Solve for x
    x = 89,895,630,276/203,886
  6. Step 6: Final answer
    x = 440,911.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.