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Finding the Third Proportional to 171,455.48 and 267,000.05

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Solution

The third proportional to 171,455.48 and 267,000.05 is: 415,787.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,455.48 : 267,000.05 = 267,000.05 : x
  2. Step 2: Convert to fraction form
    171,455.48/267,000.05 = 267,000.05/x
  3. Step 3: Cross multiply
    171,455.48x = 267,000.05 × 267,000.05
  4. Step 4: Simplify right side
    171,455.48x = 71,289,025,031.25
  5. Step 5: Solve for x
    x = 71,289,025,031.25/171,455.48
  6. Step 6: Final answer
    x = 415,787.37

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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.