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Finding the Third Proportional to 259,584.75 and 349,206.19

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Solution

The third proportional to 259,584.75 and 349,206.19 is: 469,769.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,584.75 : 349,206.19 = 349,206.19 : x
  2. Step 2: Convert to fraction form
    259,584.75/349,206.19 = 349,206.19/x
  3. Step 3: Cross multiply
    259,584.75x = 349,206.19 × 349,206.19
  4. Step 4: Simplify right side
    259,584.75x = 121,944,961,388.29
  5. Step 5: Solve for x
    x = 121,944,961,388.29/259,584.75
  6. Step 6: Final answer
    x = 469,769.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.