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Finding the Third Proportional to 157,626 and 341,469

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Solution

The third proportional to 157,626 and 341,469 is: 739,732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,626 : 341,469 = 341,469 : x
  2. Step 2: Convert to fraction form
    157,626/341,469 = 341,469/x
  3. Step 3: Cross multiply
    157,626x = 341,469 × 341,469
  4. Step 4: Simplify right side
    157,626x = 116,601,077,961
  5. Step 5: Solve for x
    x = 116,601,077,961/157,626
  6. Step 6: Final answer
    x = 739,732.52

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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.