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Finding the Third Proportional to 128,846.25 and 200,376

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Solution

The third proportional to 128,846.25 and 200,376 is: 311,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,846.25 : 200,376 = 200,376 : x
  2. Step 2: Convert to fraction form
    128,846.25/200,376 = 200,376/x
  3. Step 3: Cross multiply
    128,846.25x = 200,376 × 200,376
  4. Step 4: Simplify right side
    128,846.25x = 40,150,541,376
  5. Step 5: Solve for x
    x = 40,150,541,376/128,846.25
  6. Step 6: Final answer
    x = 311,615.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.