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Finding the Third Proportional to 174,968.44 and 368,614.13

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Solution

The third proportional to 174,968.44 and 368,614.13 is: 776,576.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,968.44 : 368,614.13 = 368,614.13 : x
  2. Step 2: Convert to fraction form
    174,968.44/368,614.13 = 368,614.13/x
  3. Step 3: Cross multiply
    174,968.44x = 368,614.13 × 368,614.13
  4. Step 4: Simplify right side
    174,968.44x = 135,876,373,149.52
  5. Step 5: Solve for x
    x = 135,876,373,149.52/174,968.44
  6. Step 6: Final answer
    x = 776,576.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.