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Finding the Third Proportional to 100,623 and 232,759

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Solution

The third proportional to 100,623 and 232,759 is: 538,413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,623 : 232,759 = 232,759 : x
  2. Step 2: Convert to fraction form
    100,623/232,759 = 232,759/x
  3. Step 3: Cross multiply
    100,623x = 232,759 × 232,759
  4. Step 4: Simplify right side
    100,623x = 54,176,752,081
  5. Step 5: Solve for x
    x = 54,176,752,081/100,623
  6. Step 6: Final answer
    x = 538,413.21

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.