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Finding the Third Proportional to 163,832 and 247,253

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Solution

The third proportional to 163,832 and 247,253 is: 373,150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,832 : 247,253 = 247,253 : x
  2. Step 2: Convert to fraction form
    163,832/247,253 = 247,253/x
  3. Step 3: Cross multiply
    163,832x = 247,253 × 247,253
  4. Step 4: Simplify right side
    163,832x = 61,134,046,009
  5. Step 5: Solve for x
    x = 61,134,046,009/163,832
  6. Step 6: Final answer
    x = 373,150.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.