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Finding the Third Proportional to 194,405 and 300,221

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Solution

The third proportional to 194,405 and 300,221 is: 463,633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,405 : 300,221 = 300,221 : x
  2. Step 2: Convert to fraction form
    194,405/300,221 = 300,221/x
  3. Step 3: Cross multiply
    194,405x = 300,221 × 300,221
  4. Step 4: Simplify right side
    194,405x = 90,132,648,841
  5. Step 5: Solve for x
    x = 90,132,648,841/194,405
  6. Step 6: Final answer
    x = 463,633.39

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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.