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Finding the Third Proportional to 122,836.50 and 267,907.50

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Solution

The third proportional to 122,836.50 and 267,907.50 is: 584,308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,836.50 : 267,907.50 = 267,907.50 : x
  2. Step 2: Convert to fraction form
    122,836.50/267,907.50 = 267,907.50/x
  3. Step 3: Cross multiply
    122,836.50x = 267,907.50 × 267,907.50
  4. Step 4: Simplify right side
    122,836.50x = 71,774,428,556.25
  5. Step 5: Solve for x
    x = 71,774,428,556.25/122,836.50
  6. Step 6: Final answer
    x = 584,308.64

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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.