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Finding the Third Proportional to 122,544 and 269,250

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Solution

The third proportional to 122,544 and 269,250 is: 591,588.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,544 : 269,250 = 269,250 : x
  2. Step 2: Convert to fraction form
    122,544/269,250 = 269,250/x
  3. Step 3: Cross multiply
    122,544x = 269,250 × 269,250
  4. Step 4: Simplify right side
    122,544x = 72,495,562,500
  5. Step 5: Solve for x
    x = 72,495,562,500/122,544
  6. Step 6: Final answer
    x = 591,588.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.