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Finding the Third Proportional to 164,635 and 337,045

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Solution

The third proportional to 164,635 and 337,045 is: 690,007.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,635 : 337,045 = 337,045 : x
  2. Step 2: Convert to fraction form
    164,635/337,045 = 337,045/x
  3. Step 3: Cross multiply
    164,635x = 337,045 × 337,045
  4. Step 4: Simplify right side
    164,635x = 113,599,332,025
  5. Step 5: Solve for x
    x = 113,599,332,025/164,635
  6. Step 6: Final answer
    x = 690,007.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.