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Finding the Third Proportional to 204,568.50 and 275,176.50

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Solution

The third proportional to 204,568.50 and 275,176.50 is: 370,155.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,568.50 : 275,176.50 = 275,176.50 : x
  2. Step 2: Convert to fraction form
    204,568.50/275,176.50 = 275,176.50/x
  3. Step 3: Cross multiply
    204,568.50x = 275,176.50 × 275,176.50
  4. Step 4: Simplify right side
    204,568.50x = 75,722,106,152.25
  5. Step 5: Solve for x
    x = 75,722,106,152.25/204,568.50
  6. Step 6: Final answer
    x = 370,155.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.