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Finding the Third Proportional to 84,821 and 169,633

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Solution

The third proportional to 84,821 and 169,633 is: 339,248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,821 : 169,633 = 169,633 : x
  2. Step 2: Convert to fraction form
    84,821/169,633 = 169,633/x
  3. Step 3: Cross multiply
    84,821x = 169,633 × 169,633
  4. Step 4: Simplify right side
    84,821x = 28,775,354,689
  5. Step 5: Solve for x
    x = 28,775,354,689/84,821
  6. Step 6: Final answer
    x = 339,248.00

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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.