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Finding the Third Proportional to 188,884 and 410,998

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Solution

The third proportional to 188,884 and 410,998 is: 894,302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,884 : 410,998 = 410,998 : x
  2. Step 2: Convert to fraction form
    188,884/410,998 = 410,998/x
  3. Step 3: Cross multiply
    188,884x = 410,998 × 410,998
  4. Step 4: Simplify right side
    188,884x = 168,919,356,004
  5. Step 5: Solve for x
    x = 168,919,356,004/188,884
  6. Step 6: Final answer
    x = 894,302.09

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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.