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Finding the Third Proportional to 110,182.50 and 239,031

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Solution

The third proportional to 110,182.50 and 239,031 is: 518,556.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,182.50 : 239,031 = 239,031 : x
  2. Step 2: Convert to fraction form
    110,182.50/239,031 = 239,031/x
  3. Step 3: Cross multiply
    110,182.50x = 239,031 × 239,031
  4. Step 4: Simplify right side
    110,182.50x = 57,135,818,961
  5. Step 5: Solve for x
    x = 57,135,818,961/110,182.50
  6. Step 6: Final answer
    x = 518,556.20

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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.