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Finding the Third Proportional to 248,449.50 and 394,047

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Solution

The third proportional to 248,449.50 and 394,047 is: 624,968.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,449.50 : 394,047 = 394,047 : x
  2. Step 2: Convert to fraction form
    248,449.50/394,047 = 394,047/x
  3. Step 3: Cross multiply
    248,449.50x = 394,047 × 394,047
  4. Step 4: Simplify right side
    248,449.50x = 155,273,038,209
  5. Step 5: Solve for x
    x = 155,273,038,209/248,449.50
  6. Step 6: Final answer
    x = 624,968.21

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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.