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Finding the Third Proportional to 147,144 and 227,794.50

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Solution

The third proportional to 147,144 and 227,794.50 is: 352,650.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,144 : 227,794.50 = 227,794.50 : x
  2. Step 2: Convert to fraction form
    147,144/227,794.50 = 227,794.50/x
  3. Step 3: Cross multiply
    147,144x = 227,794.50 × 227,794.50
  4. Step 4: Simplify right side
    147,144x = 51,890,334,230.25
  5. Step 5: Solve for x
    x = 51,890,334,230.25/147,144
  6. Step 6: Final answer
    x = 352,650.02

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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.