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Finding the Third Proportional to 194,747 and 425,542

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Solution

The third proportional to 194,747 and 425,542 is: 929,852.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,747 : 425,542 = 425,542 : x
  2. Step 2: Convert to fraction form
    194,747/425,542 = 425,542/x
  3. Step 3: Cross multiply
    194,747x = 425,542 × 425,542
  4. Step 4: Simplify right side
    194,747x = 181,085,993,764
  5. Step 5: Solve for x
    x = 181,085,993,764/194,747
  6. Step 6: Final answer
    x = 929,852.55

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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.