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Finding the Third Proportional to 84,824 and 169,638

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Solution

The third proportional to 84,824 and 169,638 is: 339,256.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,824 : 169,638 = 169,638 : x
  2. Step 2: Convert to fraction form
    84,824/169,638 = 169,638/x
  3. Step 3: Cross multiply
    84,824x = 169,638 × 169,638
  4. Step 4: Simplify right side
    84,824x = 28,777,051,044
  5. Step 5: Solve for x
    x = 28,777,051,044/84,824
  6. Step 6: Final answer
    x = 339,256.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.