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Finding the Third Proportional to 185,212.50 and 285,515.25

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Solution

The third proportional to 185,212.50 and 285,515.25 is: 440,137.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,212.50 : 285,515.25 = 285,515.25 : x
  2. Step 2: Convert to fraction form
    185,212.50/285,515.25 = 285,515.25/x
  3. Step 3: Cross multiply
    185,212.50x = 285,515.25 × 285,515.25
  4. Step 4: Simplify right side
    185,212.50x = 81,518,957,982.56
  5. Step 5: Solve for x
    x = 81,518,957,982.56/185,212.50
  6. Step 6: Final answer
    x = 440,137.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.