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Finding the Third Proportional to 194,758 and 308,126

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Solution

The third proportional to 194,758 and 308,126 is: 487,485.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,758 : 308,126 = 308,126 : x
  2. Step 2: Convert to fraction form
    194,758/308,126 = 308,126/x
  3. Step 3: Cross multiply
    194,758x = 308,126 × 308,126
  4. Step 4: Simplify right side
    194,758x = 94,941,631,876
  5. Step 5: Solve for x
    x = 94,941,631,876/194,758
  6. Step 6: Final answer
    x = 487,485.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.