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Finding the Third Proportional to 159,612 and 236,322

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Solution

The third proportional to 159,612 and 236,322 is: 349,899.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,612 : 236,322 = 236,322 : x
  2. Step 2: Convert to fraction form
    159,612/236,322 = 236,322/x
  3. Step 3: Cross multiply
    159,612x = 236,322 × 236,322
  4. Step 4: Simplify right side
    159,612x = 55,848,087,684
  5. Step 5: Solve for x
    x = 55,848,087,684/159,612
  6. Step 6: Final answer
    x = 349,899.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.