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Finding the Third Proportional to 165,954 and 247,848

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Solution

The third proportional to 165,954 and 247,848 is: 370,154.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,954 : 247,848 = 247,848 : x
  2. Step 2: Convert to fraction form
    165,954/247,848 = 247,848/x
  3. Step 3: Cross multiply
    165,954x = 247,848 × 247,848
  4. Step 4: Simplify right side
    165,954x = 61,428,631,104
  5. Step 5: Solve for x
    x = 61,428,631,104/165,954
  6. Step 6: Final answer
    x = 370,154.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.