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Finding the Third Proportional to 169,641 and 368,793

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Solution

The third proportional to 169,641 and 368,793 is: 801,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,641 : 368,793 = 368,793 : x
  2. Step 2: Convert to fraction form
    169,641/368,793 = 368,793/x
  3. Step 3: Cross multiply
    169,641x = 368,793 × 368,793
  4. Step 4: Simplify right side
    169,641x = 136,008,276,849
  5. Step 5: Solve for x
    x = 136,008,276,849/169,641
  6. Step 6: Final answer
    x = 801,741.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.