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Finding the Third Proportional to 176,725.13 and 381,471.75

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Solution

The third proportional to 176,725.13 and 381,471.75 is: 823,429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,725.13 : 381,471.75 = 381,471.75 : x
  2. Step 2: Convert to fraction form
    176,725.13/381,471.75 = 381,471.75/x
  3. Step 3: Cross multiply
    176,725.13x = 381,471.75 × 381,471.75
  4. Step 4: Simplify right side
    176,725.13x = 145,520,696,048.06
  5. Step 5: Solve for x
    x = 145,520,696,048.06/176,725.13
  6. Step 6: Final answer
    x = 823,429.58

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