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Finding the Third Proportional to 141,993.75 and 307,644.56

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Solution

The third proportional to 141,993.75 and 307,644.56 is: 666,544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,993.75 : 307,644.56 = 307,644.56 : x
  2. Step 2: Convert to fraction form
    141,993.75/307,644.56 = 307,644.56/x
  3. Step 3: Cross multiply
    141,993.75x = 307,644.56 × 307,644.56
  4. Step 4: Simplify right side
    141,993.75x = 94,645,176,835.82
  5. Step 5: Solve for x
    x = 94,645,176,835.82/141,993.75
  6. Step 6: Final answer
    x = 666,544.67

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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.