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Finding the Third Proportional to 110,970 and 239,436

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Solution

The third proportional to 110,970 and 239,436 is: 516,622.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,970 : 239,436 = 239,436 : x
  2. Step 2: Convert to fraction form
    110,970/239,436 = 239,436/x
  3. Step 3: Cross multiply
    110,970x = 239,436 × 239,436
  4. Step 4: Simplify right side
    110,970x = 57,329,598,096
  5. Step 5: Solve for x
    x = 57,329,598,096/110,970
  6. Step 6: Final answer
    x = 516,622.49

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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.