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Finding the Third Proportional to 112,904 and 248,848

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Solution

The third proportional to 112,904 and 248,848 is: 548,477.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,904 : 248,848 = 248,848 : x
  2. Step 2: Convert to fraction form
    112,904/248,848 = 248,848/x
  3. Step 3: Cross multiply
    112,904x = 248,848 × 248,848
  4. Step 4: Simplify right side
    112,904x = 61,925,327,104
  5. Step 5: Solve for x
    x = 61,925,327,104/112,904
  6. Step 6: Final answer
    x = 548,477.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.