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Finding the Third Proportional to 171,036 and 268,302

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Solution

The third proportional to 171,036 and 268,302 is: 420,881.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,036 : 268,302 = 268,302 : x
  2. Step 2: Convert to fraction form
    171,036/268,302 = 268,302/x
  3. Step 3: Cross multiply
    171,036x = 268,302 × 268,302
  4. Step 4: Simplify right side
    171,036x = 71,985,963,204
  5. Step 5: Solve for x
    x = 71,985,963,204/171,036
  6. Step 6: Final answer
    x = 420,881.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.