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Finding the Third Proportional to 177,391.50 and 259,485

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Solution

The third proportional to 177,391.50 and 259,485 is: 379,569.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,391.50 : 259,485 = 259,485 : x
  2. Step 2: Convert to fraction form
    177,391.50/259,485 = 259,485/x
  3. Step 3: Cross multiply
    177,391.50x = 259,485 × 259,485
  4. Step 4: Simplify right side
    177,391.50x = 67,332,465,225
  5. Step 5: Solve for x
    x = 67,332,465,225/177,391.50
  6. Step 6: Final answer
    x = 379,569.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.