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Finding the Third Proportional to 195,324.75 and 293,507.25

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Solution

The third proportional to 195,324.75 and 293,507.25 is: 441,042.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,324.75 : 293,507.25 = 293,507.25 : x
  2. Step 2: Convert to fraction form
    195,324.75/293,507.25 = 293,507.25/x
  3. Step 3: Cross multiply
    195,324.75x = 293,507.25 × 293,507.25
  4. Step 4: Simplify right side
    195,324.75x = 86,146,505,802.56
  5. Step 5: Solve for x
    x = 86,146,505,802.56/195,324.75
  6. Step 6: Final answer
    x = 441,042.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.