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Finding the Third Proportional to 248,865.47 and 384,299.44

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Solution

The third proportional to 248,865.47 and 384,299.44 is: 593,437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,865.47 : 384,299.44 = 384,299.44 : x
  2. Step 2: Convert to fraction form
    248,865.47/384,299.44 = 384,299.44/x
  3. Step 3: Cross multiply
    248,865.47x = 384,299.44 × 384,299.44
  4. Step 4: Simplify right side
    248,865.47x = 147,686,057,662.82
  5. Step 5: Solve for x
    x = 147,686,057,662.82/248,865.47
  6. Step 6: Final answer
    x = 593,437.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.