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Finding the Third Proportional to 248,394.94 and 393,968.81

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Solution

The third proportional to 248,394.94 and 393,968.81 is: 624,857.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,394.94 : 393,968.81 = 393,968.81 : x
  2. Step 2: Convert to fraction form
    248,394.94/393,968.81 = 393,968.81/x
  3. Step 3: Cross multiply
    248,394.94x = 393,968.81 × 393,968.81
  4. Step 4: Simplify right side
    248,394.94x = 155,211,425,222.66
  5. Step 5: Solve for x
    x = 155,211,425,222.66/248,394.94
  6. Step 6: Final answer
    x = 624,857.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.