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Finding the Third Proportional to 157,171.50 and 321,606

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Solution

The third proportional to 157,171.50 and 321,606 is: 658,073.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,171.50 : 321,606 = 321,606 : x
  2. Step 2: Convert to fraction form
    157,171.50/321,606 = 321,606/x
  3. Step 3: Cross multiply
    157,171.50x = 321,606 × 321,606
  4. Step 4: Simplify right side
    157,171.50x = 103,430,419,236
  5. Step 5: Solve for x
    x = 103,430,419,236/157,171.50
  6. Step 6: Final answer
    x = 658,073.63

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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.