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Finding the Third Proportional to 114,966 and 250,182

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Solution

The third proportional to 114,966 and 250,182 is: 544,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,966 : 250,182 = 250,182 : x
  2. Step 2: Convert to fraction form
    114,966/250,182 = 250,182/x
  3. Step 3: Cross multiply
    114,966x = 250,182 × 250,182
  4. Step 4: Simplify right side
    114,966x = 62,591,033,124
  5. Step 5: Solve for x
    x = 62,591,033,124/114,966
  6. Step 6: Final answer
    x = 544,430.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.