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Finding the Third Proportional to 176,037.25 and 380,132

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Solution

The third proportional to 176,037.25 and 380,132 is: 820,850.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,037.25 : 380,132 = 380,132 : x
  2. Step 2: Convert to fraction form
    176,037.25/380,132 = 380,132/x
  3. Step 3: Cross multiply
    176,037.25x = 380,132 × 380,132
  4. Step 4: Simplify right side
    176,037.25x = 144,500,337,424
  5. Step 5: Solve for x
    x = 144,500,337,424/176,037.25
  6. Step 6: Final answer
    x = 820,850.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.