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Finding the Third Proportional to 164,858 and 337,546

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Solution

The third proportional to 164,858 and 337,546 is: 691,123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,858 : 337,546 = 337,546 : x
  2. Step 2: Convert to fraction form
    164,858/337,546 = 337,546/x
  3. Step 3: Cross multiply
    164,858x = 337,546 × 337,546
  4. Step 4: Simplify right side
    164,858x = 113,937,302,116
  5. Step 5: Solve for x
    x = 113,937,302,116/164,858
  6. Step 6: Final answer
    x = 691,123.89

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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.