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Finding the Third Proportional to 194,428.50 and 278,034.75

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Solution

The third proportional to 194,428.50 and 278,034.75 is: 397,592.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,428.50 : 278,034.75 = 278,034.75 : x
  2. Step 2: Convert to fraction form
    194,428.50/278,034.75 = 278,034.75/x
  3. Step 3: Cross multiply
    194,428.50x = 278,034.75 × 278,034.75
  4. Step 4: Simplify right side
    194,428.50x = 77,303,322,207.56
  5. Step 5: Solve for x
    x = 77,303,322,207.56/194,428.50
  6. Step 6: Final answer
    x = 397,592.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.