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Finding the Third Proportional to 104,726.25 and 226,055.25

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Solution

The third proportional to 104,726.25 and 226,055.25 is: 487,948.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,726.25 : 226,055.25 = 226,055.25 : x
  2. Step 2: Convert to fraction form
    104,726.25/226,055.25 = 226,055.25/x
  3. Step 3: Cross multiply
    104,726.25x = 226,055.25 × 226,055.25
  4. Step 4: Simplify right side
    104,726.25x = 51,100,976,052.56
  5. Step 5: Solve for x
    x = 51,100,976,052.56/104,726.25
  6. Step 6: Final answer
    x = 487,948.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.