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Finding the Third Proportional to 194,549 and 426,004

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Solution

The third proportional to 194,549 and 426,004 is: 932,821.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,549 : 426,004 = 426,004 : x
  2. Step 2: Convert to fraction form
    194,549/426,004 = 426,004/x
  3. Step 3: Cross multiply
    194,549x = 426,004 × 426,004
  4. Step 4: Simplify right side
    194,549x = 181,479,408,016
  5. Step 5: Solve for x
    x = 181,479,408,016/194,549
  6. Step 6: Final answer
    x = 932,821.08

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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.