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Finding the Third Proportional to 150,039 and 212,296.50

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Solution

The third proportional to 150,039 and 212,296.50 is: 300,387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,039 : 212,296.50 = 212,296.50 : x
  2. Step 2: Convert to fraction form
    150,039/212,296.50 = 212,296.50/x
  3. Step 3: Cross multiply
    150,039x = 212,296.50 × 212,296.50
  4. Step 4: Simplify right side
    150,039x = 45,069,803,912.25
  5. Step 5: Solve for x
    x = 45,069,803,912.25/150,039
  6. Step 6: Final answer
    x = 300,387.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.