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Finding the Third Proportional to 194,838 and 404,982

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Solution

The third proportional to 194,838 and 404,982 is: 841,778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,838 : 404,982 = 404,982 : x
  2. Step 2: Convert to fraction form
    194,838/404,982 = 404,982/x
  3. Step 3: Cross multiply
    194,838x = 404,982 × 404,982
  4. Step 4: Simplify right side
    194,838x = 164,010,420,324
  5. Step 5: Solve for x
    x = 164,010,420,324/194,838
  6. Step 6: Final answer
    x = 841,778.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.