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Finding the Third Proportional to 167,502 and 251,607

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Solution

The third proportional to 167,502 and 251,607 is: 377,942.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,502 : 251,607 = 251,607 : x
  2. Step 2: Convert to fraction form
    167,502/251,607 = 251,607/x
  3. Step 3: Cross multiply
    167,502x = 251,607 × 251,607
  4. Step 4: Simplify right side
    167,502x = 63,306,082,449
  5. Step 5: Solve for x
    x = 63,306,082,449/167,502
  6. Step 6: Final answer
    x = 377,942.25

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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.