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Finding the Third Proportional to 165,746 and 362,839

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Solution

The third proportional to 165,746 and 362,839 is: 794,300.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,746 : 362,839 = 362,839 : x
  2. Step 2: Convert to fraction form
    165,746/362,839 = 362,839/x
  3. Step 3: Cross multiply
    165,746x = 362,839 × 362,839
  4. Step 4: Simplify right side
    165,746x = 131,652,139,921
  5. Step 5: Solve for x
    x = 131,652,139,921/165,746
  6. Step 6: Final answer
    x = 794,300.56

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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.