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Finding the Third Proportional to 160,351.50 and 350,775

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Solution

The third proportional to 160,351.50 and 350,775 is: 767,333.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,351.50 : 350,775 = 350,775 : x
  2. Step 2: Convert to fraction form
    160,351.50/350,775 = 350,775/x
  3. Step 3: Cross multiply
    160,351.50x = 350,775 × 350,775
  4. Step 4: Simplify right side
    160,351.50x = 123,043,100,625
  5. Step 5: Solve for x
    x = 123,043,100,625/160,351.50
  6. Step 6: Final answer
    x = 767,333.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.