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Finding the Third Proportional to 118,960.50 and 256,491

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Solution

The third proportional to 118,960.50 and 256,491 is: 553,020.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,960.50 : 256,491 = 256,491 : x
  2. Step 2: Convert to fraction form
    118,960.50/256,491 = 256,491/x
  3. Step 3: Cross multiply
    118,960.50x = 256,491 × 256,491
  4. Step 4: Simplify right side
    118,960.50x = 65,787,633,081
  5. Step 5: Solve for x
    x = 65,787,633,081/118,960.50
  6. Step 6: Final answer
    x = 553,020.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.