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Finding the Third Proportional to 251,219 and 341,137

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Solution

The third proportional to 251,219 and 341,137 is: 463,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,219 : 341,137 = 341,137 : x
  2. Step 2: Convert to fraction form
    251,219/341,137 = 341,137/x
  3. Step 3: Cross multiply
    251,219x = 341,137 × 341,137
  4. Step 4: Simplify right side
    251,219x = 116,374,452,769
  5. Step 5: Solve for x
    x = 116,374,452,769/251,219
  6. Step 6: Final answer
    x = 463,239.06

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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.