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Finding the Third Proportional to 188,889.75 and 285,152.63

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Solution

The third proportional to 188,889.75 and 285,152.63 is: 430,473.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,889.75 : 285,152.63 = 285,152.63 : x
  2. Step 2: Convert to fraction form
    188,889.75/285,152.63 = 285,152.63/x
  3. Step 3: Cross multiply
    188,889.75x = 285,152.63 × 285,152.63
  4. Step 4: Simplify right side
    188,889.75x = 81,312,019,544.39
  5. Step 5: Solve for x
    x = 81,312,019,544.39/188,889.75
  6. Step 6: Final answer
    x = 430,473.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.