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Finding the Third Proportional to 155,610 and 339,384

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Solution

The third proportional to 155,610 and 339,384 is: 740,193.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,610 : 339,384 = 339,384 : x
  2. Step 2: Convert to fraction form
    155,610/339,384 = 339,384/x
  3. Step 3: Cross multiply
    155,610x = 339,384 × 339,384
  4. Step 4: Simplify right side
    155,610x = 115,181,499,456
  5. Step 5: Solve for x
    x = 115,181,499,456/155,610
  6. Step 6: Final answer
    x = 740,193.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.