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Finding the Third Proportional to 122,260 and 267,848

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Solution

The third proportional to 122,260 and 267,848 is: 586,803.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,260 : 267,848 = 267,848 : x
  2. Step 2: Convert to fraction form
    122,260/267,848 = 267,848/x
  3. Step 3: Cross multiply
    122,260x = 267,848 × 267,848
  4. Step 4: Simplify right side
    122,260x = 71,742,551,104
  5. Step 5: Solve for x
    x = 71,742,551,104/122,260
  6. Step 6: Final answer
    x = 586,803.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.