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Finding the Third Proportional to 194,422 and 404,363.50

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Solution

The third proportional to 194,422 and 404,363.50 is: 841,004.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,422 : 404,363.50 = 404,363.50 : x
  2. Step 2: Convert to fraction form
    194,422/404,363.50 = 404,363.50/x
  3. Step 3: Cross multiply
    194,422x = 404,363.50 × 404,363.50
  4. Step 4: Simplify right side
    194,422x = 163,509,840,132.25
  5. Step 5: Solve for x
    x = 163,509,840,132.25/194,422
  6. Step 6: Final answer
    x = 841,004.83

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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.