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Finding the Third Proportional to 157,180 and 321,622

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Solution

The third proportional to 157,180 and 321,622 is: 658,103.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,180 : 321,622 = 321,622 : x
  2. Step 2: Convert to fraction form
    157,180/321,622 = 321,622/x
  3. Step 3: Cross multiply
    157,180x = 321,622 × 321,622
  4. Step 4: Simplify right side
    157,180x = 103,440,710,884
  5. Step 5: Solve for x
    x = 103,440,710,884/157,180
  6. Step 6: Final answer
    x = 658,103.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.