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Finding the Third Proportional to 115,819.88 and 251,186.06

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Solution

The third proportional to 115,819.88 and 251,186.06 is: 544,763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,819.88 : 251,186.06 = 251,186.06 : x
  2. Step 2: Convert to fraction form
    115,819.88/251,186.06 = 251,186.06/x
  3. Step 3: Cross multiply
    115,819.88x = 251,186.06 × 251,186.06
  4. Step 4: Simplify right side
    115,819.88x = 63,094,437,994.25
  5. Step 5: Solve for x
    x = 63,094,437,994.25/115,819.88
  6. Step 6: Final answer
    x = 544,763.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.