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Finding the Third Proportional to 158,105.25 and 281,117.25

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Solution

The third proportional to 158,105.25 and 281,117.25 is: 499,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,105.25 : 281,117.25 = 281,117.25 : x
  2. Step 2: Convert to fraction form
    158,105.25/281,117.25 = 281,117.25/x
  3. Step 3: Cross multiply
    158,105.25x = 281,117.25 × 281,117.25
  4. Step 4: Simplify right side
    158,105.25x = 79,026,908,247.56
  5. Step 5: Solve for x
    x = 79,026,908,247.56/158,105.25
  6. Step 6: Final answer
    x = 499,837.34

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.