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Finding the Third Proportional to 104,487.75 and 229,007.25

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Solution

The third proportional to 104,487.75 and 229,007.25 is: 501,918.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,487.75 : 229,007.25 = 229,007.25 : x
  2. Step 2: Convert to fraction form
    104,487.75/229,007.25 = 229,007.25/x
  3. Step 3: Cross multiply
    104,487.75x = 229,007.25 × 229,007.25
  4. Step 4: Simplify right side
    104,487.75x = 52,444,320,552.56
  5. Step 5: Solve for x
    x = 52,444,320,552.56/104,487.75
  6. Step 6: Final answer
    x = 501,918.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.