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Finding the Third Proportional to 194,746 and 300,732

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Solution

The third proportional to 194,746 and 300,732 is: 464,398.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,746 : 300,732 = 300,732 : x
  2. Step 2: Convert to fraction form
    194,746/300,732 = 300,732/x
  3. Step 3: Cross multiply
    194,746x = 300,732 × 300,732
  4. Step 4: Simplify right side
    194,746x = 90,439,735,824
  5. Step 5: Solve for x
    x = 90,439,735,824/194,746
  6. Step 6: Final answer
    x = 464,398.43

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.