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Finding the Third Proportional to 236,823.75 and 451,822.50

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Solution

The third proportional to 236,823.75 and 451,822.50 is: 862,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,823.75 : 451,822.50 = 451,822.50 : x
  2. Step 2: Convert to fraction form
    236,823.75/451,822.50 = 451,822.50/x
  3. Step 3: Cross multiply
    236,823.75x = 451,822.50 × 451,822.50
  4. Step 4: Simplify right side
    236,823.75x = 204,143,571,506.25
  5. Step 5: Solve for x
    x = 204,143,571,506.25/236,823.75
  6. Step 6: Final answer
    x = 862,006.33

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.