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Finding the Third Proportional to 194,150.44 and 294,232.88

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Solution

The third proportional to 194,150.44 and 294,232.88 is: 445,906.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,150.44 : 294,232.88 = 294,232.88 : x
  2. Step 2: Convert to fraction form
    194,150.44/294,232.88 = 294,232.88/x
  3. Step 3: Cross multiply
    194,150.44x = 294,232.88 × 294,232.88
  4. Step 4: Simplify right side
    194,150.44x = 86,572,984,730.77
  5. Step 5: Solve for x
    x = 86,572,984,730.77/194,150.44
  6. Step 6: Final answer
    x = 445,906.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.