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Finding the Third Proportional to 107,190 and 239,753.25

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Solution

The third proportional to 107,190 and 239,753.25 is: 536,259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,190 : 239,753.25 = 239,753.25 : x
  2. Step 2: Convert to fraction form
    107,190/239,753.25 = 239,753.25/x
  3. Step 3: Cross multiply
    107,190x = 239,753.25 × 239,753.25
  4. Step 4: Simplify right side
    107,190x = 57,481,620,885.56
  5. Step 5: Solve for x
    x = 57,481,620,885.56/107,190
  6. Step 6: Final answer
    x = 536,259.17

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.