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Finding the Third Proportional to 188,047.69 and 410,388.75

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Solution

The third proportional to 188,047.69 and 410,388.75 is: 895,618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,047.69 : 410,388.75 = 410,388.75 : x
  2. Step 2: Convert to fraction form
    188,047.69/410,388.75 = 410,388.75/x
  3. Step 3: Cross multiply
    188,047.69x = 410,388.75 × 410,388.75
  4. Step 4: Simplify right side
    188,047.69x = 168,418,926,126.56
  5. Step 5: Solve for x
    x = 168,418,926,126.56/188,047.69
  6. Step 6: Final answer
    x = 895,618.17

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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.