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Finding the Third Proportional to 150,424.59 and 219,383.44

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Solution

The third proportional to 150,424.59 and 219,383.44 is: 319,954.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,424.59 : 219,383.44 = 219,383.44 : x
  2. Step 2: Convert to fraction form
    150,424.59/219,383.44 = 219,383.44/x
  3. Step 3: Cross multiply
    150,424.59x = 219,383.44 × 219,383.44
  4. Step 4: Simplify right side
    150,424.59x = 48,129,092,649.32
  5. Step 5: Solve for x
    x = 48,129,092,649.32/150,424.59
  6. Step 6: Final answer
    x = 319,954.95

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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.