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Finding the Third Proportional to 154,290 and 204,726.75

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Solution

The third proportional to 154,290 and 204,726.75 is: 271,651.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,290 : 204,726.75 = 204,726.75 : x
  2. Step 2: Convert to fraction form
    154,290/204,726.75 = 204,726.75/x
  3. Step 3: Cross multiply
    154,290x = 204,726.75 × 204,726.75
  4. Step 4: Simplify right side
    154,290x = 41,913,042,165.56
  5. Step 5: Solve for x
    x = 41,913,042,165.56/154,290
  6. Step 6: Final answer
    x = 271,651.06

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.