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Finding the Third Proportional to 159,796 and 250,664

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Solution

The third proportional to 159,796 and 250,664 is: 393,204.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,796 : 250,664 = 250,664 : x
  2. Step 2: Convert to fraction form
    159,796/250,664 = 250,664/x
  3. Step 3: Cross multiply
    159,796x = 250,664 × 250,664
  4. Step 4: Simplify right side
    159,796x = 62,832,440,896
  5. Step 5: Solve for x
    x = 62,832,440,896/159,796
  6. Step 6: Final answer
    x = 393,204.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.