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Finding the Third Proportional to 154,118.25 and 241,826.25

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Solution

The third proportional to 154,118.25 and 241,826.25 is: 379,448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,118.25 : 241,826.25 = 241,826.25 : x
  2. Step 2: Convert to fraction form
    154,118.25/241,826.25 = 241,826.25/x
  3. Step 3: Cross multiply
    154,118.25x = 241,826.25 × 241,826.25
  4. Step 4: Simplify right side
    154,118.25x = 58,479,935,189.06
  5. Step 5: Solve for x
    x = 58,479,935,189.06/154,118.25
  6. Step 6: Final answer
    x = 379,448.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.