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Finding the Third Proportional to 162,004 and 353,249

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Solution

The third proportional to 162,004 and 353,249 is: 770,257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,004 : 353,249 = 353,249 : x
  2. Step 2: Convert to fraction form
    162,004/353,249 = 353,249/x
  3. Step 3: Cross multiply
    162,004x = 353,249 × 353,249
  4. Step 4: Simplify right side
    162,004x = 124,784,856,001
  5. Step 5: Solve for x
    x = 124,784,856,001/162,004
  6. Step 6: Final answer
    x = 770,257.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.