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Finding the Third Proportional to 98,539 and 212,800

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Solution

The third proportional to 98,539 and 212,800 is: 459,552.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,539 : 212,800 = 212,800 : x
  2. Step 2: Convert to fraction form
    98,539/212,800 = 212,800/x
  3. Step 3: Cross multiply
    98,539x = 212,800 × 212,800
  4. Step 4: Simplify right side
    98,539x = 45,283,840,000
  5. Step 5: Solve for x
    x = 45,283,840,000/98,539
  6. Step 6: Final answer
    x = 459,552.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.