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Finding the Third Proportional to 175,936 and 414,904

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Solution

The third proportional to 175,936 and 414,904 is: 978,454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,936 : 414,904 = 414,904 : x
  2. Step 2: Convert to fraction form
    175,936/414,904 = 414,904/x
  3. Step 3: Cross multiply
    175,936x = 414,904 × 414,904
  4. Step 4: Simplify right side
    175,936x = 172,145,329,216
  5. Step 5: Solve for x
    x = 172,145,329,216/175,936
  6. Step 6: Final answer
    x = 978,454.26

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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.