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Finding the Third Proportional to 98,684 and 214,000

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Solution

The third proportional to 98,684 and 214,000 is: 464,067.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,684 : 214,000 = 214,000 : x
  2. Step 2: Convert to fraction form
    98,684/214,000 = 214,000/x
  3. Step 3: Cross multiply
    98,684x = 214,000 × 214,000
  4. Step 4: Simplify right side
    98,684x = 45,796,000,000
  5. Step 5: Solve for x
    x = 45,796,000,000/98,684
  6. Step 6: Final answer
    x = 464,067.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.