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Finding the Third Proportional to 110,736.56 and 241,772.06

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Solution

The third proportional to 110,736.56 and 241,772.06 is: 527,862.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,736.56 : 241,772.06 = 241,772.06 : x
  2. Step 2: Convert to fraction form
    110,736.56/241,772.06 = 241,772.06/x
  3. Step 3: Cross multiply
    110,736.56x = 241,772.06 × 241,772.06
  4. Step 4: Simplify right side
    110,736.56x = 58,453,730,205.50
  5. Step 5: Solve for x
    x = 58,453,730,205.50/110,736.56
  6. Step 6: Final answer
    x = 527,862.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.