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Finding the Third Proportional to 194,736 and 424,544

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Solution

The third proportional to 194,736 and 424,544 is: 925,548.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,736 : 424,544 = 424,544 : x
  2. Step 2: Convert to fraction form
    194,736/424,544 = 424,544/x
  3. Step 3: Cross multiply
    194,736x = 424,544 × 424,544
  4. Step 4: Simplify right side
    194,736x = 180,237,607,936
  5. Step 5: Solve for x
    x = 180,237,607,936/194,736
  6. Step 6: Final answer
    x = 925,548.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.