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Finding the Third Proportional to 169,639 and 254,843

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Solution

The third proportional to 169,639 and 254,843 is: 382,842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,639 : 254,843 = 254,843 : x
  2. Step 2: Convert to fraction form
    169,639/254,843 = 254,843/x
  3. Step 3: Cross multiply
    169,639x = 254,843 × 254,843
  4. Step 4: Simplify right side
    169,639x = 64,944,954,649
  5. Step 5: Solve for x
    x = 64,944,954,649/169,639
  6. Step 6: Final answer
    x = 382,842.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.