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Finding the Third Proportional to 112,128 and 241,216

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Solution

The third proportional to 112,128 and 241,216 is: 518,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,128 : 241,216 = 241,216 : x
  2. Step 2: Convert to fraction form
    112,128/241,216 = 241,216/x
  3. Step 3: Cross multiply
    112,128x = 241,216 × 241,216
  4. Step 4: Simplify right side
    112,128x = 58,185,158,656
  5. Step 5: Solve for x
    x = 58,185,158,656/112,128
  6. Step 6: Final answer
    x = 518,917.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.