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Finding the Third Proportional to 98,269 and 210,555

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Solution

The third proportional to 98,269 and 210,555 is: 451,143.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,269 : 210,555 = 210,555 : x
  2. Step 2: Convert to fraction form
    98,269/210,555 = 210,555/x
  3. Step 3: Cross multiply
    98,269x = 210,555 × 210,555
  4. Step 4: Simplify right side
    98,269x = 44,333,408,025
  5. Step 5: Solve for x
    x = 44,333,408,025/98,269
  6. Step 6: Final answer
    x = 451,143.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.