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Finding the Third Proportional to 194,404 and 300,220

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Solution

The third proportional to 194,404 and 300,220 is: 463,632.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,404 : 300,220 = 300,220 : x
  2. Step 2: Convert to fraction form
    194,404/300,220 = 300,220/x
  3. Step 3: Cross multiply
    194,404x = 300,220 × 300,220
  4. Step 4: Simplify right side
    194,404x = 90,132,048,400
  5. Step 5: Solve for x
    x = 90,132,048,400/194,404
  6. Step 6: Final answer
    x = 463,632.68

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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.