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Finding the Third Proportional to 174,738 and 372,369

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Solution

The third proportional to 174,738 and 372,369 is: 793,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,738 : 372,369 = 372,369 : x
  2. Step 2: Convert to fraction form
    174,738/372,369 = 372,369/x
  3. Step 3: Cross multiply
    174,738x = 372,369 × 372,369
  4. Step 4: Simplify right side
    174,738x = 138,658,672,161
  5. Step 5: Solve for x
    x = 138,658,672,161/174,738
  6. Step 6: Final answer
    x = 793,523.29

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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.