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Finding the Third Proportional to 164,905 and 335,569

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Solution

The third proportional to 164,905 and 335,569 is: 682,857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,905 : 335,569 = 335,569 : x
  2. Step 2: Convert to fraction form
    164,905/335,569 = 335,569/x
  3. Step 3: Cross multiply
    164,905x = 335,569 × 335,569
  4. Step 4: Simplify right side
    164,905x = 112,606,553,761
  5. Step 5: Solve for x
    x = 112,606,553,761/164,905
  6. Step 6: Final answer
    x = 682,857.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.