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Finding the Third Proportional to 173,826 and 368,253

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Solution

The third proportional to 173,826 and 368,253 is: 780,149.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,826 : 368,253 = 368,253 : x
  2. Step 2: Convert to fraction form
    173,826/368,253 = 368,253/x
  3. Step 3: Cross multiply
    173,826x = 368,253 × 368,253
  4. Step 4: Simplify right side
    173,826x = 135,610,272,009
  5. Step 5: Solve for x
    x = 135,610,272,009/173,826
  6. Step 6: Final answer
    x = 780,149.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.