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Finding the Third Proportional to 188,882 and 410,995

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Solution

The third proportional to 188,882 and 410,995 is: 894,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,882 : 410,995 = 410,995 : x
  2. Step 2: Convert to fraction form
    188,882/410,995 = 410,995/x
  3. Step 3: Cross multiply
    188,882x = 410,995 × 410,995
  4. Step 4: Simplify right side
    188,882x = 168,916,890,025
  5. Step 5: Solve for x
    x = 168,916,890,025/188,882
  6. Step 6: Final answer
    x = 894,298.50

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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.