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Finding the Third Proportional to 110,987.44 and 239,709.38

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Solution

The third proportional to 110,987.44 and 239,709.38 is: 517,721.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,987.44 : 239,709.38 = 239,709.38 : x
  2. Step 2: Convert to fraction form
    110,987.44/239,709.38 = 239,709.38/x
  3. Step 3: Cross multiply
    110,987.44x = 239,709.38 × 239,709.38
  4. Step 4: Simplify right side
    110,987.44x = 57,460,584,462.89
  5. Step 5: Solve for x
    x = 57,460,584,462.89/110,987.44
  6. Step 6: Final answer
    x = 517,721.52

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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.