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Finding the Third Proportional to 119,907.63 and 259,027.25

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Solution

The third proportional to 119,907.63 and 259,027.25 is: 559,556.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,907.63 : 259,027.25 = 259,027.25 : x
  2. Step 2: Convert to fraction form
    119,907.63/259,027.25 = 259,027.25/x
  3. Step 3: Cross multiply
    119,907.63x = 259,027.25 × 259,027.25
  4. Step 4: Simplify right side
    119,907.63x = 67,095,116,242.56
  5. Step 5: Solve for x
    x = 67,095,116,242.56/119,907.63
  6. Step 6: Final answer
    x = 559,556.71

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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.