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Finding the Third Proportional to 171,024 and 374,232

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Solution

The third proportional to 171,024 and 374,232 is: 818,888.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,024 : 374,232 = 374,232 : x
  2. Step 2: Convert to fraction form
    171,024/374,232 = 374,232/x
  3. Step 3: Cross multiply
    171,024x = 374,232 × 374,232
  4. Step 4: Simplify right side
    171,024x = 140,049,589,824
  5. Step 5: Solve for x
    x = 140,049,589,824/171,024
  6. Step 6: Final answer
    x = 818,888.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.