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Finding the Third Proportional to 112,128 and 244,224

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Solution

The third proportional to 112,128 and 244,224 is: 531,939.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,128 : 244,224 = 244,224 : x
  2. Step 2: Convert to fraction form
    112,128/244,224 = 244,224/x
  3. Step 3: Cross multiply
    112,128x = 244,224 × 244,224
  4. Step 4: Simplify right side
    112,128x = 59,645,362,176
  5. Step 5: Solve for x
    x = 59,645,362,176/112,128
  6. Step 6: Final answer
    x = 531,939.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.