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Finding the Third Proportional to 110,549 and 236,869

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Solution

The third proportional to 110,549 and 236,869 is: 507,529.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,549 : 236,869 = 236,869 : x
  2. Step 2: Convert to fraction form
    110,549/236,869 = 236,869/x
  3. Step 3: Cross multiply
    110,549x = 236,869 × 236,869
  4. Step 4: Simplify right side
    110,549x = 56,106,923,161
  5. Step 5: Solve for x
    x = 56,106,923,161/110,549
  6. Step 6: Final answer
    x = 507,529.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.