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Finding the Third Proportional to 159,586 and 236,293

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Solution

The third proportional to 159,586 and 236,293 is: 349,870.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,586 : 236,293 = 236,293 : x
  2. Step 2: Convert to fraction form
    159,586/236,293 = 236,293/x
  3. Step 3: Cross multiply
    159,586x = 236,293 × 236,293
  4. Step 4: Simplify right side
    159,586x = 55,834,381,849
  5. Step 5: Solve for x
    x = 55,834,381,849/159,586
  6. Step 6: Final answer
    x = 349,870.18

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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.