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Finding the Third Proportional to 173,406 and 372,677

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Solution

The third proportional to 173,406 and 372,677 is: 800,941.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,406 : 372,677 = 372,677 : x
  2. Step 2: Convert to fraction form
    173,406/372,677 = 372,677/x
  3. Step 3: Cross multiply
    173,406x = 372,677 × 372,677
  4. Step 4: Simplify right side
    173,406x = 138,888,146,329
  5. Step 5: Solve for x
    x = 138,888,146,329/173,406
  6. Step 6: Final answer
    x = 800,941.99

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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.