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Finding the Third Proportional to 159,434.25 and 349,968.75

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Solution

The third proportional to 159,434.25 and 349,968.75 is: 768,204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,434.25 : 349,968.75 = 349,968.75 : x
  2. Step 2: Convert to fraction form
    159,434.25/349,968.75 = 349,968.75/x
  3. Step 3: Cross multiply
    159,434.25x = 349,968.75 × 349,968.75
  4. Step 4: Simplify right side
    159,434.25x = 122,478,125,976.56
  5. Step 5: Solve for x
    x = 122,478,125,976.56/159,434.25
  6. Step 6: Final answer
    x = 768,204.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.