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Finding the Third Proportional to 98,832 and 212,674

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Solution

The third proportional to 98,832 and 212,674 is: 457,647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,832 : 212,674 = 212,674 : x
  2. Step 2: Convert to fraction form
    98,832/212,674 = 212,674/x
  3. Step 3: Cross multiply
    98,832x = 212,674 × 212,674
  4. Step 4: Simplify right side
    98,832x = 45,230,230,276
  5. Step 5: Solve for x
    x = 45,230,230,276/98,832
  6. Step 6: Final answer
    x = 457,647.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.