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Finding the Third Proportional to 188,006 and 413,224

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Solution

The third proportional to 188,006 and 413,224 is: 908,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,006 : 413,224 = 413,224 : x
  2. Step 2: Convert to fraction form
    188,006/413,224 = 413,224/x
  3. Step 3: Cross multiply
    188,006x = 413,224 × 413,224
  4. Step 4: Simplify right side
    188,006x = 170,754,074,176
  5. Step 5: Solve for x
    x = 170,754,074,176/188,006
  6. Step 6: Final answer
    x = 908,237.37

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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.