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Finding the Third Proportional to 162,924.75 and 350,367.19

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Solution

The third proportional to 162,924.75 and 350,367.19 is: 753,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,924.75 : 350,367.19 = 350,367.19 : x
  2. Step 2: Convert to fraction form
    162,924.75/350,367.19 = 350,367.19/x
  3. Step 3: Cross multiply
    162,924.75x = 350,367.19 × 350,367.19
  4. Step 4: Simplify right side
    162,924.75x = 122,757,166,076.66
  5. Step 5: Solve for x
    x = 122,757,166,076.66/162,924.75
  6. Step 6: Final answer
    x = 753,459.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.