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Finding the Third Proportional to 114,219 and 177,831

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Solution

The third proportional to 114,219 and 177,831 is: 276,870.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,219 : 177,831 = 177,831 : x
  2. Step 2: Convert to fraction form
    114,219/177,831 = 177,831/x
  3. Step 3: Cross multiply
    114,219x = 177,831 × 177,831
  4. Step 4: Simplify right side
    114,219x = 31,623,864,561
  5. Step 5: Solve for x
    x = 31,623,864,561/114,219
  6. Step 6: Final answer
    x = 276,870.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.