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Finding the Third Proportional to 118,250 and 256,172

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Solution

The third proportional to 118,250 and 256,172 is: 554,960.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,250 : 256,172 = 256,172 : x
  2. Step 2: Convert to fraction form
    118,250/256,172 = 256,172/x
  3. Step 3: Cross multiply
    118,250x = 256,172 × 256,172
  4. Step 4: Simplify right side
    118,250x = 65,624,093,584
  5. Step 5: Solve for x
    x = 65,624,093,584/118,250
  6. Step 6: Final answer
    x = 554,960.62

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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.