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Finding the Third Proportional to 251,211 and 341,121

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Solution

The third proportional to 251,211 and 341,121 is: 463,210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,211 : 341,121 = 341,121 : x
  2. Step 2: Convert to fraction form
    251,211/341,121 = 341,121/x
  3. Step 3: Cross multiply
    251,211x = 341,121 × 341,121
  4. Step 4: Simplify right side
    251,211x = 116,363,536,641
  5. Step 5: Solve for x
    x = 116,363,536,641/251,211
  6. Step 6: Final answer
    x = 463,210.36

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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.