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Finding the Third Proportional to 97,497 and 209,505

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Solution

The third proportional to 97,497 and 209,505 is: 450,191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,497 : 209,505 = 209,505 : x
  2. Step 2: Convert to fraction form
    97,497/209,505 = 209,505/x
  3. Step 3: Cross multiply
    97,497x = 209,505 × 209,505
  4. Step 4: Simplify right side
    97,497x = 43,892,345,025
  5. Step 5: Solve for x
    x = 43,892,345,025/97,497
  6. Step 6: Final answer
    x = 450,191.75

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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.