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Finding the Third Proportional to 182,358.75 and 379,213.50

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Solution

The third proportional to 182,358.75 and 379,213.50 is: 788,571.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,358.75 : 379,213.50 = 379,213.50 : x
  2. Step 2: Convert to fraction form
    182,358.75/379,213.50 = 379,213.50/x
  3. Step 3: Cross multiply
    182,358.75x = 379,213.50 × 379,213.50
  4. Step 4: Simplify right side
    182,358.75x = 143,802,878,582.25
  5. Step 5: Solve for x
    x = 143,802,878,582.25/182,358.75
  6. Step 6: Final answer
    x = 788,571.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.