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Finding the Third Proportional to 106,263 and 233,485

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Solution

The third proportional to 106,263 and 233,485 is: 513,021.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,263 : 233,485 = 233,485 : x
  2. Step 2: Convert to fraction form
    106,263/233,485 = 233,485/x
  3. Step 3: Cross multiply
    106,263x = 233,485 × 233,485
  4. Step 4: Simplify right side
    106,263x = 54,515,245,225
  5. Step 5: Solve for x
    x = 54,515,245,225/106,263
  6. Step 6: Final answer
    x = 513,021.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.