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Finding the Third Proportional to 175,015.75 and 374,022

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Solution

The third proportional to 175,015.75 and 374,022 is: 799,313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,015.75 : 374,022 = 374,022 : x
  2. Step 2: Convert to fraction form
    175,015.75/374,022 = 374,022/x
  3. Step 3: Cross multiply
    175,015.75x = 374,022 × 374,022
  4. Step 4: Simplify right side
    175,015.75x = 139,892,456,484
  5. Step 5: Solve for x
    x = 139,892,456,484/175,015.75
  6. Step 6: Final answer
    x = 799,313.53

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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.