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Finding the Third Proportional to 175,992 and 415,044

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Solution

The third proportional to 175,992 and 415,044 is: 978,803.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,992 : 415,044 = 415,044 : x
  2. Step 2: Convert to fraction form
    175,992/415,044 = 415,044/x
  3. Step 3: Cross multiply
    175,992x = 415,044 × 415,044
  4. Step 4: Simplify right side
    175,992x = 172,261,521,936
  5. Step 5: Solve for x
    x = 172,261,521,936/175,992
  6. Step 6: Final answer
    x = 978,803.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.