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Finding the Third Proportional to 114,366 and 177,777

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Solution

The third proportional to 114,366 and 177,777 is: 276,346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,366 : 177,777 = 177,777 : x
  2. Step 2: Convert to fraction form
    114,366/177,777 = 177,777/x
  3. Step 3: Cross multiply
    114,366x = 177,777 × 177,777
  4. Step 4: Simplify right side
    114,366x = 31,604,661,729
  5. Step 5: Solve for x
    x = 31,604,661,729/114,366
  6. Step 6: Final answer
    x = 276,346.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.