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Finding the Third Proportional to 171,066 and 265,525

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Solution

The third proportional to 171,066 and 265,525 is: 412,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,066 : 265,525 = 265,525 : x
  2. Step 2: Convert to fraction form
    171,066/265,525 = 265,525/x
  3. Step 3: Cross multiply
    171,066x = 265,525 × 265,525
  4. Step 4: Simplify right side
    171,066x = 70,503,525,625
  5. Step 5: Solve for x
    x = 70,503,525,625/171,066
  6. Step 6: Final answer
    x = 412,142.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.