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Finding the Third Proportional to 110,280 and 239,225

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Solution

The third proportional to 110,280 and 239,225 is: 518,939.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,280 : 239,225 = 239,225 : x
  2. Step 2: Convert to fraction form
    110,280/239,225 = 239,225/x
  3. Step 3: Cross multiply
    110,280x = 239,225 × 239,225
  4. Step 4: Simplify right side
    110,280x = 57,228,600,625
  5. Step 5: Solve for x
    x = 57,228,600,625/110,280
  6. Step 6: Final answer
    x = 518,939.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.