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Finding the Third Proportional to 97,524 and 209,844

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Solution

The third proportional to 97,524 and 209,844 is: 451,524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,524 : 209,844 = 209,844 : x
  2. Step 2: Convert to fraction form
    97,524/209,844 = 209,844/x
  3. Step 3: Cross multiply
    97,524x = 209,844 × 209,844
  4. Step 4: Simplify right side
    97,524x = 44,034,504,336
  5. Step 5: Solve for x
    x = 44,034,504,336/97,524
  6. Step 6: Final answer
    x = 451,524.80

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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.