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Finding the Third Proportional to 110,384 and 239,971

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Solution

The third proportional to 110,384 and 239,971 is: 521,688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,384 : 239,971 = 239,971 : x
  2. Step 2: Convert to fraction form
    110,384/239,971 = 239,971/x
  3. Step 3: Cross multiply
    110,384x = 239,971 × 239,971
  4. Step 4: Simplify right side
    110,384x = 57,586,080,841
  5. Step 5: Solve for x
    x = 57,586,080,841/110,384
  6. Step 6: Final answer
    x = 521,688.66

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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.