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Finding the Third Proportional to 164,824 and 337,478

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Solution

The third proportional to 164,824 and 337,478 is: 690,987.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,824 : 337,478 = 337,478 : x
  2. Step 2: Convert to fraction form
    164,824/337,478 = 337,478/x
  3. Step 3: Cross multiply
    164,824x = 337,478 × 337,478
  4. Step 4: Simplify right side
    164,824x = 113,891,400,484
  5. Step 5: Solve for x
    x = 113,891,400,484/164,824
  6. Step 6: Final answer
    x = 690,987.97

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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.