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Finding the Third Proportional to 167,130.84 and 251,496.56

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Solution

The third proportional to 167,130.84 and 251,496.56 is: 378,449.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,130.84 : 251,496.56 = 251,496.56 : x
  2. Step 2: Convert to fraction form
    167,130.84/251,496.56 = 251,496.56/x
  3. Step 3: Cross multiply
    167,130.84x = 251,496.56 × 251,496.56
  4. Step 4: Simplify right side
    167,130.84x = 63,250,520,949.32
  5. Step 5: Solve for x
    x = 63,250,520,949.32/167,130.84
  6. Step 6: Final answer
    x = 378,449.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.