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Finding the Third Proportional to 171,492.19 and 267,046.88

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Solution

The third proportional to 171,492.19 and 267,046.88 is: 415,844.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,492.19 : 267,046.88 = 267,046.88 : x
  2. Step 2: Convert to fraction form
    171,492.19/267,046.88 = 267,046.88/x
  3. Step 3: Cross multiply
    171,492.19x = 267,046.88 × 267,046.88
  4. Step 4: Simplify right side
    171,492.19x = 71,314,033,447.27
  5. Step 5: Solve for x
    x = 71,314,033,447.27/171,492.19
  6. Step 6: Final answer
    x = 415,844.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.