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Finding the Third Proportional to 177,300.77 and 384,741.14

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Solution

The third proportional to 177,300.77 and 384,741.14 is: 834,884.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,300.77 : 384,741.14 = 384,741.14 : x
  2. Step 2: Convert to fraction form
    177,300.77/384,741.14 = 384,741.14/x
  3. Step 3: Cross multiply
    177,300.77x = 384,741.14 × 384,741.14
  4. Step 4: Simplify right side
    177,300.77x = 148,025,745,289.43
  5. Step 5: Solve for x
    x = 148,025,745,289.43/177,300.77
  6. Step 6: Final answer
    x = 834,884.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.