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Finding the Third Proportional to 177,736 and 389,914

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Solution

The third proportional to 177,736 and 389,914 is: 855,386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,736 : 389,914 = 389,914 : x
  2. Step 2: Convert to fraction form
    177,736/389,914 = 389,914/x
  3. Step 3: Cross multiply
    177,736x = 389,914 × 389,914
  4. Step 4: Simplify right side
    177,736x = 152,032,927,396
  5. Step 5: Solve for x
    x = 152,032,927,396/177,736
  6. Step 6: Final answer
    x = 855,386.23

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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.