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Finding the Third Proportional to 234,133.50 and 350,261.25

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Solution

The third proportional to 234,133.50 and 350,261.25 is: 523,987.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,133.50 : 350,261.25 = 350,261.25 : x
  2. Step 2: Convert to fraction form
    234,133.50/350,261.25 = 350,261.25/x
  3. Step 3: Cross multiply
    234,133.50x = 350,261.25 × 350,261.25
  4. Step 4: Simplify right side
    234,133.50x = 122,682,943,251.56
  5. Step 5: Solve for x
    x = 122,682,943,251.56/234,133.50
  6. Step 6: Final answer
    x = 523,987.14

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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.