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Finding the Third Proportional to 150,681.94 and 331,495.88

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Solution

The third proportional to 150,681.94 and 331,495.88 is: 729,281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,681.94 : 331,495.88 = 331,495.88 : x
  2. Step 2: Convert to fraction form
    150,681.94/331,495.88 = 331,495.88/x
  3. Step 3: Cross multiply
    150,681.94x = 331,495.88 × 331,495.88
  4. Step 4: Simplify right side
    150,681.94x = 109,889,515,142.02
  5. Step 5: Solve for x
    x = 109,889,515,142.02/150,681.94
  6. Step 6: Final answer
    x = 729,281.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.