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Finding the Third Proportional to 129,924 and 279,186.75

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Solution

The third proportional to 129,924 and 279,186.75 is: 599,929.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,924 : 279,186.75 = 279,186.75 : x
  2. Step 2: Convert to fraction form
    129,924/279,186.75 = 279,186.75/x
  3. Step 3: Cross multiply
    129,924x = 279,186.75 × 279,186.75
  4. Step 4: Simplify right side
    129,924x = 77,945,241,375.56
  5. Step 5: Solve for x
    x = 77,945,241,375.56/129,924
  6. Step 6: Final answer
    x = 599,929.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.