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Finding the Third Proportional to 172,823.25 and 359,441.25

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Solution

The third proportional to 172,823.25 and 359,441.25 is: 747,573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,823.25 : 359,441.25 = 359,441.25 : x
  2. Step 2: Convert to fraction form
    172,823.25/359,441.25 = 359,441.25/x
  3. Step 3: Cross multiply
    172,823.25x = 359,441.25 × 359,441.25
  4. Step 4: Simplify right side
    172,823.25x = 129,198,012,201.56
  5. Step 5: Solve for x
    x = 129,198,012,201.56/172,823.25
  6. Step 6: Final answer
    x = 747,573.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.