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Finding the Third Proportional to 254,025.56 and 374,020.31

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Solution

The third proportional to 254,025.56 and 374,020.31 is: 550,697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,025.56 : 374,020.31 = 374,020.31 : x
  2. Step 2: Convert to fraction form
    254,025.56/374,020.31 = 374,020.31/x
  3. Step 3: Cross multiply
    254,025.56x = 374,020.31 × 374,020.31
  4. Step 4: Simplify right side
    254,025.56x = 139,891,194,162.60
  5. Step 5: Solve for x
    x = 139,891,194,162.60/254,025.56
  6. Step 6: Final answer
    x = 550,697.31

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.