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Finding the Third Proportional to 173,886 and 366,451

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Solution

The third proportional to 173,886 and 366,451 is: 772,266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,886 : 366,451 = 366,451 : x
  2. Step 2: Convert to fraction form
    173,886/366,451 = 366,451/x
  3. Step 3: Cross multiply
    173,886x = 366,451 × 366,451
  4. Step 4: Simplify right side
    173,886x = 134,286,335,401
  5. Step 5: Solve for x
    x = 134,286,335,401/173,886
  6. Step 6: Final answer
    x = 772,266.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.