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Finding the Third Proportional to 207,383 and 444,140

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Solution

The third proportional to 207,383 and 444,140 is: 951,188.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,383 : 444,140 = 444,140 : x
  2. Step 2: Convert to fraction form
    207,383/444,140 = 444,140/x
  3. Step 3: Cross multiply
    207,383x = 444,140 × 444,140
  4. Step 4: Simplify right side
    207,383x = 197,260,339,600
  5. Step 5: Solve for x
    x = 197,260,339,600/207,383
  6. Step 6: Final answer
    x = 951,188.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.