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Finding the Third Proportional to 155,384 and 339,928

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Solution

The third proportional to 155,384 and 339,928 is: 743,648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,384 : 339,928 = 339,928 : x
  2. Step 2: Convert to fraction form
    155,384/339,928 = 339,928/x
  3. Step 3: Cross multiply
    155,384x = 339,928 × 339,928
  4. Step 4: Simplify right side
    155,384x = 115,551,045,184
  5. Step 5: Solve for x
    x = 115,551,045,184/155,384
  6. Step 6: Final answer
    x = 743,648.29

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