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Finding the Third Proportional to 190,034.50 and 412,925

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Solution

The third proportional to 190,034.50 and 412,925 is: 897,242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,034.50 : 412,925 = 412,925 : x
  2. Step 2: Convert to fraction form
    190,034.50/412,925 = 412,925/x
  3. Step 3: Cross multiply
    190,034.50x = 412,925 × 412,925
  4. Step 4: Simplify right side
    190,034.50x = 170,507,055,625
  5. Step 5: Solve for x
    x = 170,507,055,625/190,034.50
  6. Step 6: Final answer
    x = 897,242.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.