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Finding the Third Proportional to 180,792 and 267,497.44

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Solution

The third proportional to 180,792 and 267,497.44 is: 395,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,792 : 267,497.44 = 267,497.44 : x
  2. Step 2: Convert to fraction form
    180,792/267,497.44 = 267,497.44/x
  3. Step 3: Cross multiply
    180,792x = 267,497.44 × 267,497.44
  4. Step 4: Simplify right side
    180,792x = 71,554,879,069.07
  5. Step 5: Solve for x
    x = 71,554,879,069.07/180,792
  6. Step 6: Final answer
    x = 395,785.65

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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.