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Finding the Third Proportional to 174,994.50 and 374,775

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Solution

The third proportional to 174,994.50 and 374,775 is: 802,632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,994.50 : 374,775 = 374,775 : x
  2. Step 2: Convert to fraction form
    174,994.50/374,775 = 374,775/x
  3. Step 3: Cross multiply
    174,994.50x = 374,775 × 374,775
  4. Step 4: Simplify right side
    174,994.50x = 140,456,300,625
  5. Step 5: Solve for x
    x = 140,456,300,625/174,994.50
  6. Step 6: Final answer
    x = 802,632.66

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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.