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Finding the Third Proportional to 171,796 and 267,506

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Solution

The third proportional to 171,796 and 267,506 is: 416,537.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,796 : 267,506 = 267,506 : x
  2. Step 2: Convert to fraction form
    171,796/267,506 = 267,506/x
  3. Step 3: Cross multiply
    171,796x = 267,506 × 267,506
  4. Step 4: Simplify right side
    171,796x = 71,559,460,036
  5. Step 5: Solve for x
    x = 71,559,460,036/171,796
  6. Step 6: Final answer
    x = 416,537.41

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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.