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Finding the Third Proportional to 177,457.50 and 377,057.44

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Solution

The third proportional to 177,457.50 and 377,057.44 is: 801,162.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,457.50 : 377,057.44 = 377,057.44 : x
  2. Step 2: Convert to fraction form
    177,457.50/377,057.44 = 377,057.44/x
  3. Step 3: Cross multiply
    177,457.50x = 377,057.44 × 377,057.44
  4. Step 4: Simplify right side
    177,457.50x = 142,172,311,174.07
  5. Step 5: Solve for x
    x = 142,172,311,174.07/177,457.50
  6. Step 6: Final answer
    x = 801,162.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.