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Finding the Third Proportional to 188,273.25 and 413,865

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Solution

The third proportional to 188,273.25 and 413,865 is: 909,764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,273.25 : 413,865 = 413,865 : x
  2. Step 2: Convert to fraction form
    188,273.25/413,865 = 413,865/x
  3. Step 3: Cross multiply
    188,273.25x = 413,865 × 413,865
  4. Step 4: Simplify right side
    188,273.25x = 171,284,238,225
  5. Step 5: Solve for x
    x = 171,284,238,225/188,273.25
  6. Step 6: Final answer
    x = 909,764.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.