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Finding the Third Proportional to 269,043 and 404,202.75

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Solution

The third proportional to 269,043 and 404,202.75 is: 607,263.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,043 : 404,202.75 = 404,202.75 : x
  2. Step 2: Convert to fraction form
    269,043/404,202.75 = 404,202.75/x
  3. Step 3: Cross multiply
    269,043x = 404,202.75 × 404,202.75
  4. Step 4: Simplify right side
    269,043x = 163,379,863,107.56
  5. Step 5: Solve for x
    x = 163,379,863,107.56/269,043
  6. Step 6: Final answer
    x = 607,263.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.