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Finding the Third Proportional to 114,972 and 250,194

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Solution

The third proportional to 114,972 and 250,194 is: 544,454.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,972 : 250,194 = 250,194 : x
  2. Step 2: Convert to fraction form
    114,972/250,194 = 250,194/x
  3. Step 3: Cross multiply
    114,972x = 250,194 × 250,194
  4. Step 4: Simplify right side
    114,972x = 62,597,037,636
  5. Step 5: Solve for x
    x = 62,597,037,636/114,972
  6. Step 6: Final answer
    x = 544,454.63

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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.