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Finding the Third Proportional to 251,240 and 341,165

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Solution

The third proportional to 251,240 and 341,165 is: 463,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,240 : 341,165 = 341,165 : x
  2. Step 2: Convert to fraction form
    251,240/341,165 = 341,165/x
  3. Step 3: Cross multiply
    251,240x = 341,165 × 341,165
  4. Step 4: Simplify right side
    251,240x = 116,393,557,225
  5. Step 5: Solve for x
    x = 116,393,557,225/251,240
  6. Step 6: Final answer
    x = 463,276.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.