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Finding the Third Proportional to 177,245.72 and 265,998.94

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Solution

The third proportional to 177,245.72 and 265,998.94 is: 399,194.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,245.72 : 265,998.94 = 265,998.94 : x
  2. Step 2: Convert to fraction form
    177,245.72/265,998.94 = 265,998.94/x
  3. Step 3: Cross multiply
    177,245.72x = 265,998.94 × 265,998.94
  4. Step 4: Simplify right side
    177,245.72x = 70,755,434,751.13
  5. Step 5: Solve for x
    x = 70,755,434,751.13/177,245.72
  6. Step 6: Final answer
    x = 399,194.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.