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Finding the Third Proportional to 194,466 and 299,997

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Solution

The third proportional to 194,466 and 299,997 is: 462,796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,466 : 299,997 = 299,997 : x
  2. Step 2: Convert to fraction form
    194,466/299,997 = 299,997/x
  3. Step 3: Cross multiply
    194,466x = 299,997 × 299,997
  4. Step 4: Simplify right side
    194,466x = 89,998,200,009
  5. Step 5: Solve for x
    x = 89,998,200,009/194,466
  6. Step 6: Final answer
    x = 462,796.58

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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.