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Finding the Third Proportional to 175,982 and 415,018

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Solution

The third proportional to 175,982 and 415,018 is: 978,736.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,982 : 415,018 = 415,018 : x
  2. Step 2: Convert to fraction form
    175,982/415,018 = 415,018/x
  3. Step 3: Cross multiply
    175,982x = 415,018 × 415,018
  4. Step 4: Simplify right side
    175,982x = 172,239,940,324
  5. Step 5: Solve for x
    x = 172,239,940,324/175,982
  6. Step 6: Final answer
    x = 978,736.12

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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.