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Finding the Third Proportional to 174,608.63 and 374,121.75

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Solution

The third proportional to 174,608.63 and 374,121.75 is: 801,604.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,608.63 : 374,121.75 = 374,121.75 : x
  2. Step 2: Convert to fraction form
    174,608.63/374,121.75 = 374,121.75/x
  3. Step 3: Cross multiply
    174,608.63x = 374,121.75 × 374,121.75
  4. Step 4: Simplify right side
    174,608.63x = 139,967,083,823.06
  5. Step 5: Solve for x
    x = 139,967,083,823.06/174,608.63
  6. Step 6: Final answer
    x = 801,604.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.