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Finding the Third Proportional to 165,373 and 363,146

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Solution

The third proportional to 165,373 and 363,146 is: 797,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,373 : 363,146 = 363,146 : x
  2. Step 2: Convert to fraction form
    165,373/363,146 = 363,146/x
  3. Step 3: Cross multiply
    165,373x = 363,146 × 363,146
  4. Step 4: Simplify right side
    165,373x = 131,875,017,316
  5. Step 5: Solve for x
    x = 131,875,017,316/165,373
  6. Step 6: Final answer
    x = 797,439.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.