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Finding the Third Proportional to 194,008 and 299,652

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Solution

The third proportional to 194,008 and 299,652 is: 462,822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,008 : 299,652 = 299,652 : x
  2. Step 2: Convert to fraction form
    194,008/299,652 = 299,652/x
  3. Step 3: Cross multiply
    194,008x = 299,652 × 299,652
  4. Step 4: Simplify right side
    194,008x = 89,791,321,104
  5. Step 5: Solve for x
    x = 89,791,321,104/194,008
  6. Step 6: Final answer
    x = 462,822.78

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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.