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Finding the Third Proportional to 173,843 and 361,008

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Solution

The third proportional to 173,843 and 361,008 is: 749,680.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,843 : 361,008 = 361,008 : x
  2. Step 2: Convert to fraction form
    173,843/361,008 = 361,008/x
  3. Step 3: Cross multiply
    173,843x = 361,008 × 361,008
  4. Step 4: Simplify right side
    173,843x = 130,326,776,064
  5. Step 5: Solve for x
    x = 130,326,776,064/173,843
  6. Step 6: Final answer
    x = 749,680.90

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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.