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Finding the Third Proportional to 194,560 and 300,472

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Solution

The third proportional to 194,560 and 300,472 is: 464,038.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,560 : 300,472 = 300,472 : x
  2. Step 2: Convert to fraction form
    194,560/300,472 = 300,472/x
  3. Step 3: Cross multiply
    194,560x = 300,472 × 300,472
  4. Step 4: Simplify right side
    194,560x = 90,283,422,784
  5. Step 5: Solve for x
    x = 90,283,422,784/194,560
  6. Step 6: Final answer
    x = 464,038.97

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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.