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Finding the Third Proportional to 150,560.44 and 334,335.94

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Solution

The third proportional to 150,560.44 and 334,335.94 is: 742,429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,560.44 : 334,335.94 = 334,335.94 : x
  2. Step 2: Convert to fraction form
    150,560.44/334,335.94 = 334,335.94/x
  3. Step 3: Cross multiply
    150,560.44x = 334,335.94 × 334,335.94
  4. Step 4: Simplify right side
    150,560.44x = 111,780,519,104.00
  5. Step 5: Solve for x
    x = 111,780,519,104.00/150,560.44
  6. Step 6: Final answer
    x = 742,429.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.