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Finding the Third Proportional to 168,342 and 362,922

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Solution

The third proportional to 168,342 and 362,922 is: 782,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,342 : 362,922 = 362,922 : x
  2. Step 2: Convert to fraction form
    168,342/362,922 = 362,922/x
  3. Step 3: Cross multiply
    168,342x = 362,922 × 362,922
  4. Step 4: Simplify right side
    168,342x = 131,712,378,084
  5. Step 5: Solve for x
    x = 131,712,378,084/168,342
  6. Step 6: Final answer
    x = 782,409.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.