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Finding the Third Proportional to 180,844 and 267,580

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Solution

The third proportional to 180,844 and 267,580 is: 395,916.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,844 : 267,580 = 267,580 : x
  2. Step 2: Convert to fraction form
    180,844/267,580 = 267,580/x
  3. Step 3: Cross multiply
    180,844x = 267,580 × 267,580
  4. Step 4: Simplify right side
    180,844x = 71,599,056,400
  5. Step 5: Solve for x
    x = 71,599,056,400/180,844
  6. Step 6: Final answer
    x = 395,916.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.