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Finding the Third Proportional to 127,211.75 and 267,500.25

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Solution

The third proportional to 127,211.75 and 267,500.25 is: 562,498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,211.75 : 267,500.25 = 267,500.25 : x
  2. Step 2: Convert to fraction form
    127,211.75/267,500.25 = 267,500.25/x
  3. Step 3: Cross multiply
    127,211.75x = 267,500.25 × 267,500.25
  4. Step 4: Simplify right side
    127,211.75x = 71,556,383,750.06
  5. Step 5: Solve for x
    x = 71,556,383,750.06/127,211.75
  6. Step 6: Final answer
    x = 562,498.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.