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Finding the Third Proportional to 289,138 and 451,194

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Solution

The third proportional to 289,138 and 451,194 is: 704,079.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,138 : 451,194 = 451,194 : x
  2. Step 2: Convert to fraction form
    289,138/451,194 = 451,194/x
  3. Step 3: Cross multiply
    289,138x = 451,194 × 451,194
  4. Step 4: Simplify right side
    289,138x = 203,576,025,636
  5. Step 5: Solve for x
    x = 203,576,025,636/289,138
  6. Step 6: Final answer
    x = 704,079.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.