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Finding the Third Proportional to 171,462.09 and 267,006.09

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Solution

The third proportional to 171,462.09 and 267,006.09 is: 415,790.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,462.09 : 267,006.09 = 267,006.09 : x
  2. Step 2: Convert to fraction form
    171,462.09/267,006.09 = 267,006.09/x
  3. Step 3: Cross multiply
    171,462.09x = 267,006.09 × 267,006.09
  4. Step 4: Simplify right side
    171,462.09x = 71,292,254,099.63
  5. Step 5: Solve for x
    x = 71,292,254,099.63/171,462.09
  6. Step 6: Final answer
    x = 415,790.18

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