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Finding the Third Proportional to 197,496 and 297,986

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Solution

The third proportional to 197,496 and 297,986 is: 449,607.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,496 : 297,986 = 297,986 : x
  2. Step 2: Convert to fraction form
    197,496/297,986 = 297,986/x
  3. Step 3: Cross multiply
    197,496x = 297,986 × 297,986
  4. Step 4: Simplify right side
    197,496x = 88,795,656,196
  5. Step 5: Solve for x
    x = 88,795,656,196/197,496
  6. Step 6: Final answer
    x = 449,607.37

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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.