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Finding the Third Proportional to 173,003 and 372,682

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Solution

The third proportional to 173,003 and 372,682 is: 802,829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,003 : 372,682 = 372,682 : x
  2. Step 2: Convert to fraction form
    173,003/372,682 = 372,682/x
  3. Step 3: Cross multiply
    173,003x = 372,682 × 372,682
  4. Step 4: Simplify right side
    173,003x = 138,891,873,124
  5. Step 5: Solve for x
    x = 138,891,873,124/173,003
  6. Step 6: Final answer
    x = 802,829.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.