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Finding the Third Proportional to 123,203 and 263,902

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Solution

The third proportional to 123,203 and 263,902 is: 565,280.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,203 : 263,902 = 263,902 : x
  2. Step 2: Convert to fraction form
    123,203/263,902 = 263,902/x
  3. Step 3: Cross multiply
    123,203x = 263,902 × 263,902
  4. Step 4: Simplify right side
    123,203x = 69,644,265,604
  5. Step 5: Solve for x
    x = 69,644,265,604/123,203
  6. Step 6: Final answer
    x = 565,280.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.