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Finding the Third Proportional to 194,375.81 and 290,064.56

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Solution

The third proportional to 194,375.81 and 290,064.56 is: 432,859.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,375.81 : 290,064.56 = 290,064.56 : x
  2. Step 2: Convert to fraction form
    194,375.81/290,064.56 = 290,064.56/x
  3. Step 3: Cross multiply
    194,375.81x = 290,064.56 × 290,064.56
  4. Step 4: Simplify right side
    194,375.81x = 84,137,450,418.32
  5. Step 5: Solve for x
    x = 84,137,450,418.32/194,375.81
  6. Step 6: Final answer
    x = 432,859.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.