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Finding the Third Proportional to 145,204 and 219,997

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Solution

The third proportional to 145,204 and 219,997 is: 333,315.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,204 : 219,997 = 219,997 : x
  2. Step 2: Convert to fraction form
    145,204/219,997 = 219,997/x
  3. Step 3: Cross multiply
    145,204x = 219,997 × 219,997
  4. Step 4: Simplify right side
    145,204x = 48,398,680,009
  5. Step 5: Solve for x
    x = 48,398,680,009/145,204
  6. Step 6: Final answer
    x = 333,315.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.