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Finding the Third Proportional to 188,819.50 and 410,842

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Solution

The third proportional to 188,819.50 and 410,842 is: 893,928.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,819.50 : 410,842 = 410,842 : x
  2. Step 2: Convert to fraction form
    188,819.50/410,842 = 410,842/x
  3. Step 3: Cross multiply
    188,819.50x = 410,842 × 410,842
  4. Step 4: Simplify right side
    188,819.50x = 168,791,148,964
  5. Step 5: Solve for x
    x = 168,791,148,964/188,819.50
  6. Step 6: Final answer
    x = 893,928.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.