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Finding the Third Proportional to 155,422 and 333,496

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Solution

The third proportional to 155,422 and 333,496 is: 715,597.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,422 : 333,496 = 333,496 : x
  2. Step 2: Convert to fraction form
    155,422/333,496 = 333,496/x
  3. Step 3: Cross multiply
    155,422x = 333,496 × 333,496
  4. Step 4: Simplify right side
    155,422x = 111,219,582,016
  5. Step 5: Solve for x
    x = 111,219,582,016/155,422
  6. Step 6: Final answer
    x = 715,597.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.