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Finding the Third Proportional to 197,449 and 385,057

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Solution

The third proportional to 197,449 and 385,057 is: 750,922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,449 : 385,057 = 385,057 : x
  2. Step 2: Convert to fraction form
    197,449/385,057 = 385,057/x
  3. Step 3: Cross multiply
    197,449x = 385,057 × 385,057
  4. Step 4: Simplify right side
    197,449x = 148,268,893,249
  5. Step 5: Solve for x
    x = 148,268,893,249/197,449
  6. Step 6: Final answer
    x = 750,922.48

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.