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Finding the Third Proportional to 234,137.25 and 350,266.50

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Solution

The third proportional to 234,137.25 and 350,266.50 is: 523,994.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,137.25 : 350,266.50 = 350,266.50 : x
  2. Step 2: Convert to fraction form
    234,137.25/350,266.50 = 350,266.50/x
  3. Step 3: Cross multiply
    234,137.25x = 350,266.50 × 350,266.50
  4. Step 4: Simplify right side
    234,137.25x = 122,686,621,022.25
  5. Step 5: Solve for x
    x = 122,686,621,022.25/234,137.25
  6. Step 6: Final answer
    x = 523,994.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.