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Finding the Third Proportional to 147,094 and 227,297.75

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Solution

The third proportional to 147,094 and 227,297.75 is: 351,233.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,094 : 227,297.75 = 227,297.75 : x
  2. Step 2: Convert to fraction form
    147,094/227,297.75 = 227,297.75/x
  3. Step 3: Cross multiply
    147,094x = 227,297.75 × 227,297.75
  4. Step 4: Simplify right side
    147,094x = 51,664,267,155.06
  5. Step 5: Solve for x
    x = 51,664,267,155.06/147,094
  6. Step 6: Final answer
    x = 351,233.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.