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Finding the Third Proportional to 177,735 and 389,912

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Solution

The third proportional to 177,735 and 389,912 is: 855,382.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,735 : 389,912 = 389,912 : x
  2. Step 2: Convert to fraction form
    177,735/389,912 = 389,912/x
  3. Step 3: Cross multiply
    177,735x = 389,912 × 389,912
  4. Step 4: Simplify right side
    177,735x = 152,031,367,744
  5. Step 5: Solve for x
    x = 152,031,367,744/177,735
  6. Step 6: Final answer
    x = 855,382.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.