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Finding the Third Proportional to 155,422 and 321,901

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Solution

The third proportional to 155,422 and 321,901 is: 666,702.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,422 : 321,901 = 321,901 : x
  2. Step 2: Convert to fraction form
    155,422/321,901 = 321,901/x
  3. Step 3: Cross multiply
    155,422x = 321,901 × 321,901
  4. Step 4: Simplify right side
    155,422x = 103,620,253,801
  5. Step 5: Solve for x
    x = 103,620,253,801/155,422
  6. Step 6: Final answer
    x = 666,702.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.