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Finding the Third Proportional to 194,180 and 301,634

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Solution

The third proportional to 194,180 and 301,634 is: 468,550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,180 : 301,634 = 301,634 : x
  2. Step 2: Convert to fraction form
    194,180/301,634 = 301,634/x
  3. Step 3: Cross multiply
    194,180x = 301,634 × 301,634
  4. Step 4: Simplify right side
    194,180x = 90,983,069,956
  5. Step 5: Solve for x
    x = 90,983,069,956/194,180
  6. Step 6: Final answer
    x = 468,550.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.