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Finding the Third Proportional to 177,762.09 and 384,091.88

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Solution

The third proportional to 177,762.09 and 384,091.88 is: 829,910.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,762.09 : 384,091.88 = 384,091.88 : x
  2. Step 2: Convert to fraction form
    177,762.09/384,091.88 = 384,091.88/x
  3. Step 3: Cross multiply
    177,762.09x = 384,091.88 × 384,091.88
  4. Step 4: Simplify right side
    177,762.09x = 147,526,568,441.02
  5. Step 5: Solve for x
    x = 147,526,568,441.02/177,762.09
  6. Step 6: Final answer
    x = 829,910.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.