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Finding the Third Proportional to 114,450 and 247,956

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Solution

The third proportional to 114,450 and 247,956 is: 537,196.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,450 : 247,956 = 247,956 : x
  2. Step 2: Convert to fraction form
    114,450/247,956 = 247,956/x
  3. Step 3: Cross multiply
    114,450x = 247,956 × 247,956
  4. Step 4: Simplify right side
    114,450x = 61,482,177,936
  5. Step 5: Solve for x
    x = 61,482,177,936/114,450
  6. Step 6: Final answer
    x = 537,196.84

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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.