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Finding the Third Proportional to 188,512.69 and 410,894.63

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Solution

The third proportional to 188,512.69 and 410,894.63 is: 895,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,512.69 : 410,894.63 = 410,894.63 : x
  2. Step 2: Convert to fraction form
    188,512.69/410,894.63 = 410,894.63/x
  3. Step 3: Cross multiply
    188,512.69x = 410,894.63 × 410,894.63
  4. Step 4: Simplify right side
    188,512.69x = 168,834,392,853.89
  5. Step 5: Solve for x
    x = 168,834,392,853.89/188,512.69
  6. Step 6: Final answer
    x = 895,612.89

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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.