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Finding the Third Proportional to 159,971.50 and 350,075

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Solution

The third proportional to 159,971.50 and 350,075 is: 766,089.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,971.50 : 350,075 = 350,075 : x
  2. Step 2: Convert to fraction form
    159,971.50/350,075 = 350,075/x
  3. Step 3: Cross multiply
    159,971.50x = 350,075 × 350,075
  4. Step 4: Simplify right side
    159,971.50x = 122,552,505,625
  5. Step 5: Solve for x
    x = 122,552,505,625/159,971.50
  6. Step 6: Final answer
    x = 766,089.62

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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.