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Finding the Third Proportional to 185,208.75 and 285,509.25

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Solution

The third proportional to 185,208.75 and 285,509.25 is: 440,127.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,208.75 : 285,509.25 = 285,509.25 : x
  2. Step 2: Convert to fraction form
    185,208.75/285,509.25 = 285,509.25/x
  3. Step 3: Cross multiply
    185,208.75x = 285,509.25 × 285,509.25
  4. Step 4: Simplify right side
    185,208.75x = 81,515,531,835.56
  5. Step 5: Solve for x
    x = 81,515,531,835.56/185,208.75
  6. Step 6: Final answer
    x = 440,127.87

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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.