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Finding the Third Proportional to 150,036 and 219,276

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Solution

The third proportional to 150,036 and 219,276 is: 320,469.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,036 : 219,276 = 219,276 : x
  2. Step 2: Convert to fraction form
    150,036/219,276 = 219,276/x
  3. Step 3: Cross multiply
    150,036x = 219,276 × 219,276
  4. Step 4: Simplify right side
    150,036x = 48,081,964,176
  5. Step 5: Solve for x
    x = 48,081,964,176/150,036
  6. Step 6: Final answer
    x = 320,469.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.