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Finding the Third Proportional to 171,036 and 272,204

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Solution

The third proportional to 171,036 and 272,204 is: 433,212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,036 : 272,204 = 272,204 : x
  2. Step 2: Convert to fraction form
    171,036/272,204 = 272,204/x
  3. Step 3: Cross multiply
    171,036x = 272,204 × 272,204
  4. Step 4: Simplify right side
    171,036x = 74,095,017,616
  5. Step 5: Solve for x
    x = 74,095,017,616/171,036
  6. Step 6: Final answer
    x = 433,212.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.