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Finding the Third Proportional to 188,833 and 410,868

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Solution

The third proportional to 188,833 and 410,868 is: 893,977.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,833 : 410,868 = 410,868 : x
  2. Step 2: Convert to fraction form
    188,833/410,868 = 410,868/x
  3. Step 3: Cross multiply
    188,833x = 410,868 × 410,868
  4. Step 4: Simplify right side
    188,833x = 168,812,513,424
  5. Step 5: Solve for x
    x = 168,812,513,424/188,833
  6. Step 6: Final answer
    x = 893,977.82

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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.