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Finding the Third Proportional to 176,277 and 264,803

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Solution

The third proportional to 176,277 and 264,803 is: 397,786.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,277 : 264,803 = 264,803 : x
  2. Step 2: Convert to fraction form
    176,277/264,803 = 264,803/x
  3. Step 3: Cross multiply
    176,277x = 264,803 × 264,803
  4. Step 4: Simplify right side
    176,277x = 70,120,628,809
  5. Step 5: Solve for x
    x = 70,120,628,809/176,277
  6. Step 6: Final answer
    x = 397,786.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.