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Finding the Third Proportional to 171,824 and 369,044

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Solution

The third proportional to 171,824 and 369,044 is: 792,633.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,824 : 369,044 = 369,044 : x
  2. Step 2: Convert to fraction form
    171,824/369,044 = 369,044/x
  3. Step 3: Cross multiply
    171,824x = 369,044 × 369,044
  4. Step 4: Simplify right side
    171,824x = 136,193,473,936
  5. Step 5: Solve for x
    x = 136,193,473,936/171,824
  6. Step 6: Final answer
    x = 792,633.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.