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Finding the Third Proportional to 122,816 and 195,298

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Solution

The third proportional to 122,816 and 195,298 is: 310,556.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,816 : 195,298 = 195,298 : x
  2. Step 2: Convert to fraction form
    122,816/195,298 = 195,298/x
  3. Step 3: Cross multiply
    122,816x = 195,298 × 195,298
  4. Step 4: Simplify right side
    122,816x = 38,141,308,804
  5. Step 5: Solve for x
    x = 38,141,308,804/122,816
  6. Step 6: Final answer
    x = 310,556.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.