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Finding the Third Proportional to 167,454 and 251,211

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Solution

The third proportional to 167,454 and 251,211 is: 376,861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,454 : 251,211 = 251,211 : x
  2. Step 2: Convert to fraction form
    167,454/251,211 = 251,211/x
  3. Step 3: Cross multiply
    167,454x = 251,211 × 251,211
  4. Step 4: Simplify right side
    167,454x = 63,106,966,521
  5. Step 5: Solve for x
    x = 63,106,966,521/167,454
  6. Step 6: Final answer
    x = 376,861.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.