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Finding the Third Proportional to 177,768 and 389,880

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Solution

The third proportional to 177,768 and 389,880 is: 855,083.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,768 : 389,880 = 389,880 : x
  2. Step 2: Convert to fraction form
    177,768/389,880 = 389,880/x
  3. Step 3: Cross multiply
    177,768x = 389,880 × 389,880
  4. Step 4: Simplify right side
    177,768x = 152,006,414,400
  5. Step 5: Solve for x
    x = 152,006,414,400/177,768
  6. Step 6: Final answer
    x = 855,083.11

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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.