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Finding the Third Proportional to 173,836 and 366,355

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Solution

The third proportional to 173,836 and 366,355 is: 772,083.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,836 : 366,355 = 366,355 : x
  2. Step 2: Convert to fraction form
    173,836/366,355 = 366,355/x
  3. Step 3: Cross multiply
    173,836x = 366,355 × 366,355
  4. Step 4: Simplify right side
    173,836x = 134,215,986,025
  5. Step 5: Solve for x
    x = 134,215,986,025/173,836
  6. Step 6: Final answer
    x = 772,083.95

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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.