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Finding the Third Proportional to 194,738 and 424,548

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Solution

The third proportional to 194,738 and 424,548 is: 925,556.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,738 : 424,548 = 424,548 : x
  2. Step 2: Convert to fraction form
    194,738/424,548 = 424,548/x
  3. Step 3: Cross multiply
    194,738x = 424,548 × 424,548
  4. Step 4: Simplify right side
    194,738x = 180,241,004,304
  5. Step 5: Solve for x
    x = 180,241,004,304/194,738
  6. Step 6: Final answer
    x = 925,556.41

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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.