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Finding the Third Proportional to 188,829 and 410,860

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Solution

The third proportional to 188,829 and 410,860 is: 893,961.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,829 : 410,860 = 410,860 : x
  2. Step 2: Convert to fraction form
    188,829/410,860 = 410,860/x
  3. Step 3: Cross multiply
    188,829x = 410,860 × 410,860
  4. Step 4: Simplify right side
    188,829x = 168,805,939,600
  5. Step 5: Solve for x
    x = 168,805,939,600/188,829
  6. Step 6: Final answer
    x = 893,961.94

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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.