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Finding the Third Proportional to 175,907 and 380,110

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Solution

The third proportional to 175,907 and 380,110 is: 821,363.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,907 : 380,110 = 380,110 : x
  2. Step 2: Convert to fraction form
    175,907/380,110 = 380,110/x
  3. Step 3: Cross multiply
    175,907x = 380,110 × 380,110
  4. Step 4: Simplify right side
    175,907x = 144,483,612,100
  5. Step 5: Solve for x
    x = 144,483,612,100/175,907
  6. Step 6: Final answer
    x = 821,363.63

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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.