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Finding the Third Proportional to 248,583.94 and 380,107.69

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Solution

The third proportional to 248,583.94 and 380,107.69 is: 581,219.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,583.94 : 380,107.69 = 380,107.69 : x
  2. Step 2: Convert to fraction form
    248,583.94/380,107.69 = 380,107.69/x
  3. Step 3: Cross multiply
    248,583.94x = 380,107.69 × 380,107.69
  4. Step 4: Simplify right side
    248,583.94x = 144,481,854,096.60
  5. Step 5: Solve for x
    x = 144,481,854,096.60/248,583.94
  6. Step 6: Final answer
    x = 581,219.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.