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Finding the Third Proportional to 118,193.50 and 256,079

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Solution

The third proportional to 118,193.50 and 256,079 is: 554,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,193.50 : 256,079 = 256,079 : x
  2. Step 2: Convert to fraction form
    118,193.50/256,079 = 256,079/x
  3. Step 3: Cross multiply
    118,193.50x = 256,079 × 256,079
  4. Step 4: Simplify right side
    118,193.50x = 65,576,454,241
  5. Step 5: Solve for x
    x = 65,576,454,241/118,193.50
  6. Step 6: Final answer
    x = 554,822.85

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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.