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Finding the Third Proportional to 180,294.75 and 275,208.75

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Solution

The third proportional to 180,294.75 and 275,208.75 is: 420,089.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,294.75 : 275,208.75 = 275,208.75 : x
  2. Step 2: Convert to fraction form
    180,294.75/275,208.75 = 275,208.75/x
  3. Step 3: Cross multiply
    180,294.75x = 275,208.75 × 275,208.75
  4. Step 4: Simplify right side
    180,294.75x = 75,739,856,076.56
  5. Step 5: Solve for x
    x = 75,739,856,076.56/180,294.75
  6. Step 6: Final answer
    x = 420,089.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.