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Finding the Third Proportional to 122,913.28 and 267,457.36

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Solution

The third proportional to 122,913.28 and 267,457.36 is: 581,982.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,913.28 : 267,457.36 = 267,457.36 : x
  2. Step 2: Convert to fraction form
    122,913.28/267,457.36 = 267,457.36/x
  3. Step 3: Cross multiply
    122,913.28x = 267,457.36 × 267,457.36
  4. Step 4: Simplify right side
    122,913.28x = 71,533,439,083.85
  5. Step 5: Solve for x
    x = 71,533,439,083.85/122,913.28
  6. Step 6: Final answer
    x = 581,982.99

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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.