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Finding the Third Proportional to 167,496 and 251,598

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Solution

The third proportional to 167,496 and 251,598 is: 377,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,496 : 251,598 = 251,598 : x
  2. Step 2: Convert to fraction form
    167,496/251,598 = 251,598/x
  3. Step 3: Cross multiply
    167,496x = 251,598 × 251,598
  4. Step 4: Simplify right side
    167,496x = 63,301,553,604
  5. Step 5: Solve for x
    x = 63,301,553,604/167,496
  6. Step 6: Final answer
    x = 377,928.75

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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.