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Finding the Third Proportional to 233,270.50 and 349,845

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Solution

The third proportional to 233,270.50 and 349,845 is: 524,676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,270.50 : 349,845 = 349,845 : x
  2. Step 2: Convert to fraction form
    233,270.50/349,845 = 349,845/x
  3. Step 3: Cross multiply
    233,270.50x = 349,845 × 349,845
  4. Step 4: Simplify right side
    233,270.50x = 122,391,524,025
  5. Step 5: Solve for x
    x = 122,391,524,025/233,270.50
  6. Step 6: Final answer
    x = 524,676.39

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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.