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Finding the Third Proportional to 176,073 and 263,434.50

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Solution

The third proportional to 176,073 and 263,434.50 is: 394,141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,073 : 263,434.50 = 263,434.50 : x
  2. Step 2: Convert to fraction form
    176,073/263,434.50 = 263,434.50/x
  3. Step 3: Cross multiply
    176,073x = 263,434.50 × 263,434.50
  4. Step 4: Simplify right side
    176,073x = 69,397,735,790.25
  5. Step 5: Solve for x
    x = 69,397,735,790.25/176,073
  6. Step 6: Final answer
    x = 394,141.84

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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.