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Finding the Third Proportional to 147,880.69 and 241,453.69

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Solution

The third proportional to 147,880.69 and 241,453.69 is: 394,235.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,880.69 : 241,453.69 = 241,453.69 : x
  2. Step 2: Convert to fraction form
    147,880.69/241,453.69 = 241,453.69/x
  3. Step 3: Cross multiply
    147,880.69x = 241,453.69 × 241,453.69
  4. Step 4: Simplify right side
    147,880.69x = 58,299,883,207.35
  5. Step 5: Solve for x
    x = 58,299,883,207.35/147,880.69
  6. Step 6: Final answer
    x = 394,235.95

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.