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Finding the Third Proportional to 157,014 and 327,310

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Solution

The third proportional to 157,014 and 327,310 is: 682,307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,014 : 327,310 = 327,310 : x
  2. Step 2: Convert to fraction form
    157,014/327,310 = 327,310/x
  3. Step 3: Cross multiply
    157,014x = 327,310 × 327,310
  4. Step 4: Simplify right side
    157,014x = 107,131,836,100
  5. Step 5: Solve for x
    x = 107,131,836,100/157,014
  6. Step 6: Final answer
    x = 682,307.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.