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Finding the Third Proportional to 238,418 and 360,057

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Solution

The third proportional to 238,418 and 360,057 is: 543,755.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,418 : 360,057 = 360,057 : x
  2. Step 2: Convert to fraction form
    238,418/360,057 = 360,057/x
  3. Step 3: Cross multiply
    238,418x = 360,057 × 360,057
  4. Step 4: Simplify right side
    238,418x = 129,641,043,249
  5. Step 5: Solve for x
    x = 129,641,043,249/238,418
  6. Step 6: Final answer
    x = 543,755.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.