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Finding the Third Proportional to 171,654 and 251,336

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Solution

The third proportional to 171,654 and 251,336 is: 368,006.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,654 : 251,336 = 251,336 : x
  2. Step 2: Convert to fraction form
    171,654/251,336 = 251,336/x
  3. Step 3: Cross multiply
    171,654x = 251,336 × 251,336
  4. Step 4: Simplify right side
    171,654x = 63,169,784,896
  5. Step 5: Solve for x
    x = 63,169,784,896/171,654
  6. Step 6: Final answer
    x = 368,006.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.