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Finding the Third Proportional to 174,504 and 372,324

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Solution

The third proportional to 174,504 and 372,324 is: 794,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,504 : 372,324 = 372,324 : x
  2. Step 2: Convert to fraction form
    174,504/372,324 = 372,324/x
  3. Step 3: Cross multiply
    174,504x = 372,324 × 372,324
  4. Step 4: Simplify right side
    174,504x = 138,625,160,976
  5. Step 5: Solve for x
    x = 138,625,160,976/174,504
  6. Step 6: Final answer
    x = 794,395.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.