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Finding the Third Proportional to 112,200 and 244,328

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Solution

The third proportional to 112,200 and 244,328 is: 532,051.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,200 : 244,328 = 244,328 : x
  2. Step 2: Convert to fraction form
    112,200/244,328 = 244,328/x
  3. Step 3: Cross multiply
    112,200x = 244,328 × 244,328
  4. Step 4: Simplify right side
    112,200x = 59,696,171,584
  5. Step 5: Solve for x
    x = 59,696,171,584/112,200
  6. Step 6: Final answer
    x = 532,051.44

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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.