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Finding the Third Proportional to 188,325 and 282,902.63

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Solution

The third proportional to 188,325 and 282,902.63 is: 424,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,325 : 282,902.63 = 282,902.63 : x
  2. Step 2: Convert to fraction form
    188,325/282,902.63 = 282,902.63/x
  3. Step 3: Cross multiply
    188,325x = 282,902.63 × 282,902.63
  4. Step 4: Simplify right side
    188,325x = 80,033,895,231.89
  5. Step 5: Solve for x
    x = 80,033,895,231.89/188,325
  6. Step 6: Final answer
    x = 424,977.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.