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Finding the Third Proportional to 194,296 and 308,948

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Solution

The third proportional to 194,296 and 308,948 is: 491,254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,296 : 308,948 = 308,948 : x
  2. Step 2: Convert to fraction form
    194,296/308,948 = 308,948/x
  3. Step 3: Cross multiply
    194,296x = 308,948 × 308,948
  4. Step 4: Simplify right side
    194,296x = 95,448,866,704
  5. Step 5: Solve for x
    x = 95,448,866,704/194,296
  6. Step 6: Final answer
    x = 491,254.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.