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Finding the Third Proportional to 133,178 and 179,431

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Solution

The third proportional to 133,178 and 179,431 is: 241,747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,178 : 179,431 = 179,431 : x
  2. Step 2: Convert to fraction form
    133,178/179,431 = 179,431/x
  3. Step 3: Cross multiply
    133,178x = 179,431 × 179,431
  4. Step 4: Simplify right side
    133,178x = 32,195,483,761
  5. Step 5: Solve for x
    x = 32,195,483,761/133,178
  6. Step 6: Final answer
    x = 241,747.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.