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Finding the Third Proportional to 110,880 and 239,580

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Solution

The third proportional to 110,880 and 239,580 is: 517,663.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,880 : 239,580 = 239,580 : x
  2. Step 2: Convert to fraction form
    110,880/239,580 = 239,580/x
  3. Step 3: Cross multiply
    110,880x = 239,580 × 239,580
  4. Step 4: Simplify right side
    110,880x = 57,398,576,400
  5. Step 5: Solve for x
    x = 57,398,576,400/110,880
  6. Step 6: Final answer
    x = 517,663.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.