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Finding the Third Proportional to 233,271 and 349,845

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Solution

The third proportional to 233,271 and 349,845 is: 524,675.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,271 : 349,845 = 349,845 : x
  2. Step 2: Convert to fraction form
    233,271/349,845 = 349,845/x
  3. Step 3: Cross multiply
    233,271x = 349,845 × 349,845
  4. Step 4: Simplify right side
    233,271x = 122,391,524,025
  5. Step 5: Solve for x
    x = 122,391,524,025/233,271
  6. Step 6: Final answer
    x = 524,675.27

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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.