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Finding the Third Proportional to 173,842 and 361,006

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Solution

The third proportional to 173,842 and 361,006 is: 749,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,842 : 361,006 = 361,006 : x
  2. Step 2: Convert to fraction form
    173,842/361,006 = 361,006/x
  3. Step 3: Cross multiply
    173,842x = 361,006 × 361,006
  4. Step 4: Simplify right side
    173,842x = 130,325,332,036
  5. Step 5: Solve for x
    x = 130,325,332,036/173,842
  6. Step 6: Final answer
    x = 749,676.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.