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Finding the Third Proportional to 159,590 and 236,295

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Solution

The third proportional to 159,590 and 236,295 is: 349,867.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,590 : 236,295 = 236,295 : x
  2. Step 2: Convert to fraction form
    159,590/236,295 = 236,295/x
  3. Step 3: Cross multiply
    159,590x = 236,295 × 236,295
  4. Step 4: Simplify right side
    159,590x = 55,835,327,025
  5. Step 5: Solve for x
    x = 55,835,327,025/159,590
  6. Step 6: Final answer
    x = 349,867.33

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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.