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Finding the Third Proportional to 175,907 and 379,165

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Solution

The third proportional to 175,907 and 379,165 is: 817,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,907 : 379,165 = 379,165 : x
  2. Step 2: Convert to fraction form
    175,907/379,165 = 379,165/x
  3. Step 3: Cross multiply
    175,907x = 379,165 × 379,165
  4. Step 4: Simplify right side
    175,907x = 143,766,097,225
  5. Step 5: Solve for x
    x = 143,766,097,225/175,907
  6. Step 6: Final answer
    x = 817,284.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.