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Finding the Third Proportional to 112,511 and 244,750

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Solution

The third proportional to 112,511 and 244,750 is: 532,415.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,511 : 244,750 = 244,750 : x
  2. Step 2: Convert to fraction form
    112,511/244,750 = 244,750/x
  3. Step 3: Cross multiply
    112,511x = 244,750 × 244,750
  4. Step 4: Simplify right side
    112,511x = 59,902,562,500
  5. Step 5: Solve for x
    x = 59,902,562,500/112,511
  6. Step 6: Final answer
    x = 532,415.16

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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.