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Finding the Third Proportional to 151,759 and 328,469

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Solution

The third proportional to 151,759 and 328,469 is: 710,942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,759 : 328,469 = 328,469 : x
  2. Step 2: Convert to fraction form
    151,759/328,469 = 328,469/x
  3. Step 3: Cross multiply
    151,759x = 328,469 × 328,469
  4. Step 4: Simplify right side
    151,759x = 107,891,883,961
  5. Step 5: Solve for x
    x = 107,891,883,961/151,759
  6. Step 6: Final answer
    x = 710,942.24

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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.