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Finding the Third Proportional to 197,504 and 297,998

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Solution

The third proportional to 197,504 and 297,998 is: 449,625.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,504 : 297,998 = 297,998 : x
  2. Step 2: Convert to fraction form
    197,504/297,998 = 297,998/x
  3. Step 3: Cross multiply
    197,504x = 297,998 × 297,998
  4. Step 4: Simplify right side
    197,504x = 88,802,808,004
  5. Step 5: Solve for x
    x = 88,802,808,004/197,504
  6. Step 6: Final answer
    x = 449,625.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.