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Finding the Third Proportional to 194,554 and 423,181

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Solution

The third proportional to 194,554 and 423,181 is: 920,475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,554 : 423,181 = 423,181 : x
  2. Step 2: Convert to fraction form
    194,554/423,181 = 423,181/x
  3. Step 3: Cross multiply
    194,554x = 423,181 × 423,181
  4. Step 4: Simplify right side
    194,554x = 179,082,158,761
  5. Step 5: Solve for x
    x = 179,082,158,761/194,554
  6. Step 6: Final answer
    x = 920,475.34

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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.