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Finding the Third Proportional to 171,476 and 267,032

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Solution

The third proportional to 171,476 and 267,032 is: 415,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,476 : 267,032 = 267,032 : x
  2. Step 2: Convert to fraction form
    171,476/267,032 = 267,032/x
  3. Step 3: Cross multiply
    171,476x = 267,032 × 267,032
  4. Step 4: Simplify right side
    171,476x = 71,306,089,024
  5. Step 5: Solve for x
    x = 71,306,089,024/171,476
  6. Step 6: Final answer
    x = 415,837.14

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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.