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Finding the Third Proportional to 155,538 and 333,180

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Solution

The third proportional to 155,538 and 333,180 is: 713,709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,538 : 333,180 = 333,180 : x
  2. Step 2: Convert to fraction form
    155,538/333,180 = 333,180/x
  3. Step 3: Cross multiply
    155,538x = 333,180 × 333,180
  4. Step 4: Simplify right side
    155,538x = 111,008,912,400
  5. Step 5: Solve for x
    x = 111,008,912,400/155,538
  6. Step 6: Final answer
    x = 713,709.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.