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Finding the Third Proportional to 194,462 and 299,994

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Solution

The third proportional to 194,462 and 299,994 is: 462,796.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,462 : 299,994 = 299,994 : x
  2. Step 2: Convert to fraction form
    194,462/299,994 = 299,994/x
  3. Step 3: Cross multiply
    194,462x = 299,994 × 299,994
  4. Step 4: Simplify right side
    194,462x = 89,996,400,036
  5. Step 5: Solve for x
    x = 89,996,400,036/194,462
  6. Step 6: Final answer
    x = 462,796.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.