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Finding the Third Proportional to 103,601.25 and 223,143

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Solution

The third proportional to 103,601.25 and 223,143 is: 480,619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,601.25 : 223,143 = 223,143 : x
  2. Step 2: Convert to fraction form
    103,601.25/223,143 = 223,143/x
  3. Step 3: Cross multiply
    103,601.25x = 223,143 × 223,143
  4. Step 4: Simplify right side
    103,601.25x = 49,792,798,449
  5. Step 5: Solve for x
    x = 49,792,798,449/103,601.25
  6. Step 6: Final answer
    x = 480,619.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.