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Finding the Third Proportional to 145,111 and 219,857

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Solution

The third proportional to 145,111 and 219,857 is: 333,104.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,111 : 219,857 = 219,857 : x
  2. Step 2: Convert to fraction form
    145,111/219,857 = 219,857/x
  3. Step 3: Cross multiply
    145,111x = 219,857 × 219,857
  4. Step 4: Simplify right side
    145,111x = 48,337,100,449
  5. Step 5: Solve for x
    x = 48,337,100,449/145,111
  6. Step 6: Final answer
    x = 333,104.32

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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.