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Finding the Third Proportional to 204,638.25 and 417,598.50

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Solution

The third proportional to 204,638.25 and 417,598.50 is: 852,179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,638.25 : 417,598.50 = 417,598.50 : x
  2. Step 2: Convert to fraction form
    204,638.25/417,598.50 = 417,598.50/x
  3. Step 3: Cross multiply
    204,638.25x = 417,598.50 × 417,598.50
  4. Step 4: Simplify right side
    204,638.25x = 174,388,507,202.25
  5. Step 5: Solve for x
    x = 174,388,507,202.25/204,638.25
  6. Step 6: Final answer
    x = 852,179.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.