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Finding the Third Proportional to 164,862 and 337,554

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Solution

The third proportional to 164,862 and 337,554 is: 691,139.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,862 : 337,554 = 337,554 : x
  2. Step 2: Convert to fraction form
    164,862/337,554 = 337,554/x
  3. Step 3: Cross multiply
    164,862x = 337,554 × 337,554
  4. Step 4: Simplify right side
    164,862x = 113,942,702,916
  5. Step 5: Solve for x
    x = 113,942,702,916/164,862
  6. Step 6: Final answer
    x = 691,139.88

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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.