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Finding the Third Proportional to 171,457 and 267,003

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Solution

The third proportional to 171,457 and 267,003 is: 415,792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,457 : 267,003 = 267,003 : x
  2. Step 2: Convert to fraction form
    171,457/267,003 = 267,003/x
  3. Step 3: Cross multiply
    171,457x = 267,003 × 267,003
  4. Step 4: Simplify right side
    171,457x = 71,290,602,009
  5. Step 5: Solve for x
    x = 71,290,602,009/171,457
  6. Step 6: Final answer
    x = 415,792.89

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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.