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Finding the Third Proportional to 238,180 and 338,553

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Solution

The third proportional to 238,180 and 338,553 is: 481,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,180 : 338,553 = 338,553 : x
  2. Step 2: Convert to fraction form
    238,180/338,553 = 338,553/x
  3. Step 3: Cross multiply
    238,180x = 338,553 × 338,553
  4. Step 4: Simplify right side
    238,180x = 114,618,133,809
  5. Step 5: Solve for x
    x = 114,618,133,809/238,180
  6. Step 6: Final answer
    x = 481,224.85

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.