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Finding the Third Proportional to 185,200.50 and 270,725.25

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Solution

The third proportional to 185,200.50 and 270,725.25 is: 395,744.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,200.50 : 270,725.25 = 270,725.25 : x
  2. Step 2: Convert to fraction form
    185,200.50/270,725.25 = 270,725.25/x
  3. Step 3: Cross multiply
    185,200.50x = 270,725.25 × 270,725.25
  4. Step 4: Simplify right side
    185,200.50x = 73,292,160,987.56
  5. Step 5: Solve for x
    x = 73,292,160,987.56/185,200.50
  6. Step 6: Final answer
    x = 395,744.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.