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Finding the Third Proportional to 150,695.44 and 204,657.89

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Solution

The third proportional to 150,695.44 and 204,657.89 is: 277,943.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,695.44 : 204,657.89 = 204,657.89 : x
  2. Step 2: Convert to fraction form
    150,695.44/204,657.89 = 204,657.89/x
  3. Step 3: Cross multiply
    150,695.44x = 204,657.89 × 204,657.89
  4. Step 4: Simplify right side
    150,695.44x = 41,884,852,195.07
  5. Step 5: Solve for x
    x = 41,884,852,195.07/150,695.44
  6. Step 6: Final answer
    x = 277,943.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.