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Finding the Third Proportional to 188,503.88 and 410,178.09

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Solution

The third proportional to 188,503.88 and 410,178.09 is: 892,533.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,503.88 : 410,178.09 = 410,178.09 : x
  2. Step 2: Convert to fraction form
    188,503.88/410,178.09 = 410,178.09/x
  3. Step 3: Cross multiply
    188,503.88x = 410,178.09 × 410,178.09
  4. Step 4: Simplify right side
    188,503.88x = 168,246,068,592.38
  5. Step 5: Solve for x
    x = 168,246,068,592.38/188,503.88
  6. Step 6: Final answer
    x = 892,533.74

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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.