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Finding the Third Proportional to 119,351 and 167,307

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Solution

The third proportional to 119,351 and 167,307 is: 234,532.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,351 : 167,307 = 167,307 : x
  2. Step 2: Convert to fraction form
    119,351/167,307 = 167,307/x
  3. Step 3: Cross multiply
    119,351x = 167,307 × 167,307
  4. Step 4: Simplify right side
    119,351x = 27,991,632,249
  5. Step 5: Solve for x
    x = 27,991,632,249/119,351
  6. Step 6: Final answer
    x = 234,532.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.