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Finding the Third Proportional to 148,961 and 340,326

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Solution

The third proportional to 148,961 and 340,326 is: 777,530.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,961 : 340,326 = 340,326 : x
  2. Step 2: Convert to fraction form
    148,961/340,326 = 340,326/x
  3. Step 3: Cross multiply
    148,961x = 340,326 × 340,326
  4. Step 4: Simplify right side
    148,961x = 115,821,786,276
  5. Step 5: Solve for x
    x = 115,821,786,276/148,961
  6. Step 6: Final answer
    x = 777,530.94

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.