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Finding the Third Proportional to 152,910 and 236,183

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Solution

The third proportional to 152,910 and 236,183 is: 364,805.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,910 : 236,183 = 236,183 : x
  2. Step 2: Convert to fraction form
    152,910/236,183 = 236,183/x
  3. Step 3: Cross multiply
    152,910x = 236,183 × 236,183
  4. Step 4: Simplify right side
    152,910x = 55,782,409,489
  5. Step 5: Solve for x
    x = 55,782,409,489/152,910
  6. Step 6: Final answer
    x = 364,805.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.