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Finding the Third Proportional to 176,256 and 264,774.75

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Solution

The third proportional to 176,256 and 264,774.75 is: 397,749.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,256 : 264,774.75 = 264,774.75 : x
  2. Step 2: Convert to fraction form
    176,256/264,774.75 = 264,774.75/x
  3. Step 3: Cross multiply
    176,256x = 264,774.75 × 264,774.75
  4. Step 4: Simplify right side
    176,256x = 70,105,668,237.56
  5. Step 5: Solve for x
    x = 70,105,668,237.56/176,256
  6. Step 6: Final answer
    x = 397,749.12

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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.