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Finding the Third Proportional to 131,834.25 and 209,607.75

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Solution

The third proportional to 131,834.25 and 209,607.75 is: 333,262.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,834.25 : 209,607.75 = 209,607.75 : x
  2. Step 2: Convert to fraction form
    131,834.25/209,607.75 = 209,607.75/x
  3. Step 3: Cross multiply
    131,834.25x = 209,607.75 × 209,607.75
  4. Step 4: Simplify right side
    131,834.25x = 43,935,408,860.06
  5. Step 5: Solve for x
    x = 43,935,408,860.06/131,834.25
  6. Step 6: Final answer
    x = 333,262.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.