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Finding the Third Proportional to 151,804.97 and 222,786.28

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Solution

The third proportional to 151,804.97 and 222,786.28 is: 326,957.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,804.97 : 222,786.28 = 222,786.28 : x
  2. Step 2: Convert to fraction form
    151,804.97/222,786.28 = 222,786.28/x
  3. Step 3: Cross multiply
    151,804.97x = 222,786.28 × 222,786.28
  4. Step 4: Simplify right side
    151,804.97x = 49,633,727,113.20
  5. Step 5: Solve for x
    x = 49,633,727,113.20/151,804.97
  6. Step 6: Final answer
    x = 326,957.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.