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Finding the Third Proportional to 173,832 and 366,345

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Solution

The third proportional to 173,832 and 366,345 is: 772,059.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,832 : 366,345 = 366,345 : x
  2. Step 2: Convert to fraction form
    173,832/366,345 = 366,345/x
  3. Step 3: Cross multiply
    173,832x = 366,345 × 366,345
  4. Step 4: Simplify right side
    173,832x = 134,208,659,025
  5. Step 5: Solve for x
    x = 134,208,659,025/173,832
  6. Step 6: Final answer
    x = 772,059.57

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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.