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Finding the Third Proportional to 98,344 and 211,025

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Solution

The third proportional to 98,344 and 211,025 is: 452,814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,344 : 211,025 = 211,025 : x
  2. Step 2: Convert to fraction form
    98,344/211,025 = 211,025/x
  3. Step 3: Cross multiply
    98,344x = 211,025 × 211,025
  4. Step 4: Simplify right side
    98,344x = 44,531,550,625
  5. Step 5: Solve for x
    x = 44,531,550,625/98,344
  6. Step 6: Final answer
    x = 452,814.11

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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.