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Finding the Third Proportional to 171,787.50 and 259,564.50

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Solution

The third proportional to 171,787.50 and 259,564.50 is: 392,192.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,787.50 : 259,564.50 = 259,564.50 : x
  2. Step 2: Convert to fraction form
    171,787.50/259,564.50 = 259,564.50/x
  3. Step 3: Cross multiply
    171,787.50x = 259,564.50 × 259,564.50
  4. Step 4: Simplify right side
    171,787.50x = 67,373,729,660.25
  5. Step 5: Solve for x
    x = 67,373,729,660.25/171,787.50
  6. Step 6: Final answer
    x = 392,192.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.