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Finding the Third Proportional to 194,914 and 422,852

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Solution

The third proportional to 194,914 and 422,852 is: 917,347.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,914 : 422,852 = 422,852 : x
  2. Step 2: Convert to fraction form
    194,914/422,852 = 422,852/x
  3. Step 3: Cross multiply
    194,914x = 422,852 × 422,852
  4. Step 4: Simplify right side
    194,914x = 178,803,813,904
  5. Step 5: Solve for x
    x = 178,803,813,904/194,914
  6. Step 6: Final answer
    x = 917,347.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.