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Finding the Third Proportional to 176,154 and 264,285

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Solution

The third proportional to 176,154 and 264,285 is: 396,508.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,154 : 264,285 = 264,285 : x
  2. Step 2: Convert to fraction form
    176,154/264,285 = 264,285/x
  3. Step 3: Cross multiply
    176,154x = 264,285 × 264,285
  4. Step 4: Simplify right side
    176,154x = 69,846,561,225
  5. Step 5: Solve for x
    x = 69,846,561,225/176,154
  6. Step 6: Final answer
    x = 396,508.52

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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.