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Finding the Third Proportional to 98,000 and 212,596

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Solution

The third proportional to 98,000 and 212,596 is: 461,194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,000 : 212,596 = 212,596 : x
  2. Step 2: Convert to fraction form
    98,000/212,596 = 212,596/x
  3. Step 3: Cross multiply
    98,000x = 212,596 × 212,596
  4. Step 4: Simplify right side
    98,000x = 45,197,059,216
  5. Step 5: Solve for x
    x = 45,197,059,216/98,000
  6. Step 6: Final answer
    x = 461,194.48

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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.