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Finding the Third Proportional to 110,989 and 239,714

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Solution

The third proportional to 110,989 and 239,714 is: 517,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,989 : 239,714 = 239,714 : x
  2. Step 2: Convert to fraction form
    110,989/239,714 = 239,714/x
  3. Step 3: Cross multiply
    110,989x = 239,714 × 239,714
  4. Step 4: Simplify right side
    110,989x = 57,462,801,796
  5. Step 5: Solve for x
    x = 57,462,801,796/110,989
  6. Step 6: Final answer
    x = 517,734.21

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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.