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Finding the Third Proportional to 194,254 and 300,008

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Solution

The third proportional to 194,254 and 300,008 is: 463,335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,254 : 300,008 = 300,008 : x
  2. Step 2: Convert to fraction form
    194,254/300,008 = 300,008/x
  3. Step 3: Cross multiply
    194,254x = 300,008 × 300,008
  4. Step 4: Simplify right side
    194,254x = 90,004,800,064
  5. Step 5: Solve for x
    x = 90,004,800,064/194,254
  6. Step 6: Final answer
    x = 463,335.63

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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.