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Finding the Third Proportional to 176,101.31 and 383,640.75

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Solution

The third proportional to 176,101.31 and 383,640.75 is: 835,770.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,101.31 : 383,640.75 = 383,640.75 : x
  2. Step 2: Convert to fraction form
    176,101.31/383,640.75 = 383,640.75/x
  3. Step 3: Cross multiply
    176,101.31x = 383,640.75 × 383,640.75
  4. Step 4: Simplify right side
    176,101.31x = 147,180,225,060.56
  5. Step 5: Solve for x
    x = 147,180,225,060.56/176,101.31
  6. Step 6: Final answer
    x = 835,770.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.