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Finding the Third Proportional to 175,936 and 372,832

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Solution

The third proportional to 175,936 and 372,832 is: 790,081.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,936 : 372,832 = 372,832 : x
  2. Step 2: Convert to fraction form
    175,936/372,832 = 372,832/x
  3. Step 3: Cross multiply
    175,936x = 372,832 × 372,832
  4. Step 4: Simplify right side
    175,936x = 139,003,700,224
  5. Step 5: Solve for x
    x = 139,003,700,224/175,936
  6. Step 6: Final answer
    x = 790,081.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.