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Finding the Third Proportional to 112,422 and 248,648

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Solution

The third proportional to 112,422 and 248,648 is: 549,944.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,422 : 248,648 = 248,648 : x
  2. Step 2: Convert to fraction form
    112,422/248,648 = 248,648/x
  3. Step 3: Cross multiply
    112,422x = 248,648 × 248,648
  4. Step 4: Simplify right side
    112,422x = 61,825,827,904
  5. Step 5: Solve for x
    x = 61,825,827,904/112,422
  6. Step 6: Final answer
    x = 549,944.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.