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Finding the Third Proportional to 165,438 and 362,385

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Solution

The third proportional to 165,438 and 362,385 is: 793,789.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,438 : 362,385 = 362,385 : x
  2. Step 2: Convert to fraction form
    165,438/362,385 = 362,385/x
  3. Step 3: Cross multiply
    165,438x = 362,385 × 362,385
  4. Step 4: Simplify right side
    165,438x = 131,322,888,225
  5. Step 5: Solve for x
    x = 131,322,888,225/165,438
  6. Step 6: Final answer
    x = 793,789.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.