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Finding the Third Proportional to 176,257.50 and 264,777

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Solution

The third proportional to 176,257.50 and 264,777 is: 397,752.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,257.50 : 264,777 = 264,777 : x
  2. Step 2: Convert to fraction form
    176,257.50/264,777 = 264,777/x
  3. Step 3: Cross multiply
    176,257.50x = 264,777 × 264,777
  4. Step 4: Simplify right side
    176,257.50x = 70,106,859,729
  5. Step 5: Solve for x
    x = 70,106,859,729/176,257.50
  6. Step 6: Final answer
    x = 397,752.49

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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.