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Finding the Third Proportional to 188,100 and 410,476

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Solution

The third proportional to 188,100 and 410,476 is: 895,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,100 : 410,476 = 410,476 : x
  2. Step 2: Convert to fraction form
    188,100/410,476 = 410,476/x
  3. Step 3: Cross multiply
    188,100x = 410,476 × 410,476
  4. Step 4: Simplify right side
    188,100x = 168,490,546,576
  5. Step 5: Solve for x
    x = 168,490,546,576/188,100
  6. Step 6: Final answer
    x = 895,749.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.