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Finding the Third Proportional to 161,050 and 236,027

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Solution

The third proportional to 161,050 and 236,027 is: 345,909.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,050 : 236,027 = 236,027 : x
  2. Step 2: Convert to fraction form
    161,050/236,027 = 236,027/x
  3. Step 3: Cross multiply
    161,050x = 236,027 × 236,027
  4. Step 4: Simplify right side
    161,050x = 55,708,744,729
  5. Step 5: Solve for x
    x = 55,708,744,729/161,050
  6. Step 6: Final answer
    x = 345,909.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.