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Finding the Third Proportional to 123,048 and 267,439.50

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Solution

The third proportional to 123,048 and 267,439.50 is: 581,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,048 : 267,439.50 = 267,439.50 : x
  2. Step 2: Convert to fraction form
    123,048/267,439.50 = 267,439.50/x
  3. Step 3: Cross multiply
    123,048x = 267,439.50 × 267,439.50
  4. Step 4: Simplify right side
    123,048x = 71,523,886,160.25
  5. Step 5: Solve for x
    x = 71,523,886,160.25/123,048
  6. Step 6: Final answer
    x = 581,268.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.