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Finding the Third Proportional to 171,990.75 and 364,795.50

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Solution

The third proportional to 171,990.75 and 364,795.50 is: 773,737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,990.75 : 364,795.50 = 364,795.50 : x
  2. Step 2: Convert to fraction form
    171,990.75/364,795.50 = 364,795.50/x
  3. Step 3: Cross multiply
    171,990.75x = 364,795.50 × 364,795.50
  4. Step 4: Simplify right side
    171,990.75x = 133,075,756,820.25
  5. Step 5: Solve for x
    x = 133,075,756,820.25/171,990.75
  6. Step 6: Final answer
    x = 773,737.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.