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Finding the Third Proportional to 194,462 and 299,989

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Solution

The third proportional to 194,462 and 299,989 is: 462,781.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,462 : 299,989 = 299,989 : x
  2. Step 2: Convert to fraction form
    194,462/299,989 = 299,989/x
  3. Step 3: Cross multiply
    194,462x = 299,989 × 299,989
  4. Step 4: Simplify right side
    194,462x = 89,993,400,121
  5. Step 5: Solve for x
    x = 89,993,400,121/194,462
  6. Step 6: Final answer
    x = 462,781.42

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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.