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Finding the Third Proportional to 177,890.24 and 381,204.35

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Solution

The third proportional to 177,890.24 and 381,204.35 is: 816,890.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,890.24 : 381,204.35 = 381,204.35 : x
  2. Step 2: Convert to fraction form
    177,890.24/381,204.35 = 381,204.35/x
  3. Step 3: Cross multiply
    177,890.24x = 381,204.35 × 381,204.35
  4. Step 4: Simplify right side
    177,890.24x = 145,316,757,650.19
  5. Step 5: Solve for x
    x = 145,316,757,650.19/177,890.24
  6. Step 6: Final answer
    x = 816,890.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.