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Finding the Third Proportional to 151,326 and 327,701

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Solution

The third proportional to 151,326 and 327,701 is: 709,646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,326 : 327,701 = 327,701 : x
  2. Step 2: Convert to fraction form
    151,326/327,701 = 327,701/x
  3. Step 3: Cross multiply
    151,326x = 327,701 × 327,701
  4. Step 4: Simplify right side
    151,326x = 107,387,945,401
  5. Step 5: Solve for x
    x = 107,387,945,401/151,326
  6. Step 6: Final answer
    x = 709,646.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.