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Finding the Third Proportional to 141,485 and 305,098

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Solution

The third proportional to 141,485 and 305,098 is: 657,912.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,485 : 305,098 = 305,098 : x
  2. Step 2: Convert to fraction form
    141,485/305,098 = 305,098/x
  3. Step 3: Cross multiply
    141,485x = 305,098 × 305,098
  4. Step 4: Simplify right side
    141,485x = 93,084,789,604
  5. Step 5: Solve for x
    x = 93,084,789,604/141,485
  6. Step 6: Final answer
    x = 657,912.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.