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Finding the Third Proportional to 122,536.50 and 269,237.25

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Solution

The third proportional to 122,536.50 and 269,237.25 is: 591,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,536.50 : 269,237.25 = 269,237.25 : x
  2. Step 2: Convert to fraction form
    122,536.50/269,237.25 = 269,237.25/x
  3. Step 3: Cross multiply
    122,536.50x = 269,237.25 × 269,237.25
  4. Step 4: Simplify right side
    122,536.50x = 72,488,696,787.56
  5. Step 5: Solve for x
    x = 72,488,696,787.56/122,536.50
  6. Step 6: Final answer
    x = 591,568.20

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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.