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Finding the Third Proportional to 194,928 and 427,083

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Solution

The third proportional to 194,928 and 427,083 is: 935,729.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,928 : 427,083 = 427,083 : x
  2. Step 2: Convert to fraction form
    194,928/427,083 = 427,083/x
  3. Step 3: Cross multiply
    194,928x = 427,083 × 427,083
  4. Step 4: Simplify right side
    194,928x = 182,399,888,889
  5. Step 5: Solve for x
    x = 182,399,888,889/194,928
  6. Step 6: Final answer
    x = 935,729.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.