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Finding the Third Proportional to 174,015.75 and 368,625

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Solution

The third proportional to 174,015.75 and 368,625 is: 780,874.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,015.75 : 368,625 = 368,625 : x
  2. Step 2: Convert to fraction form
    174,015.75/368,625 = 368,625/x
  3. Step 3: Cross multiply
    174,015.75x = 368,625 × 368,625
  4. Step 4: Simplify right side
    174,015.75x = 135,884,390,625
  5. Step 5: Solve for x
    x = 135,884,390,625/174,015.75
  6. Step 6: Final answer
    x = 780,874.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.