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Finding the Third Proportional to 182,200.50 and 399,388.50

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Solution

The third proportional to 182,200.50 and 399,388.50 is: 875,470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,200.50 : 399,388.50 = 399,388.50 : x
  2. Step 2: Convert to fraction form
    182,200.50/399,388.50 = 399,388.50/x
  3. Step 3: Cross multiply
    182,200.50x = 399,388.50 × 399,388.50
  4. Step 4: Simplify right side
    182,200.50x = 159,511,173,932.25
  5. Step 5: Solve for x
    x = 159,511,173,932.25/182,200.50
  6. Step 6: Final answer
    x = 875,470.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.