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Finding the Third Proportional to 194,734.50 and 404,948

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Solution

The third proportional to 194,734.50 and 404,948 is: 842,084.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,734.50 : 404,948 = 404,948 : x
  2. Step 2: Convert to fraction form
    194,734.50/404,948 = 404,948/x
  3. Step 3: Cross multiply
    194,734.50x = 404,948 × 404,948
  4. Step 4: Simplify right side
    194,734.50x = 163,982,882,704
  5. Step 5: Solve for x
    x = 163,982,882,704/194,734.50
  6. Step 6: Final answer
    x = 842,084.39

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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.