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Finding the Third Proportional to 110,853.56 and 238,337.44

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Solution

The third proportional to 110,853.56 and 238,337.44 is: 512,430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,853.56 : 238,337.44 = 238,337.44 : x
  2. Step 2: Convert to fraction form
    110,853.56/238,337.44 = 238,337.44/x
  3. Step 3: Cross multiply
    110,853.56x = 238,337.44 × 238,337.44
  4. Step 4: Simplify right side
    110,853.56x = 56,804,734,114.07
  5. Step 5: Solve for x
    x = 56,804,734,114.07/110,853.56
  6. Step 6: Final answer
    x = 512,430.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.