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Finding the Third Proportional to 177,311.53 and 384,763.92

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Solution

The third proportional to 177,311.53 and 384,763.92 is: 834,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,311.53 : 384,763.92 = 384,763.92 : x
  2. Step 2: Convert to fraction form
    177,311.53/384,763.92 = 384,763.92/x
  3. Step 3: Cross multiply
    177,311.53x = 384,763.92 × 384,763.92
  4. Step 4: Simplify right side
    177,311.53x = 148,043,275,576.63
  5. Step 5: Solve for x
    x = 148,043,275,576.63/177,311.53
  6. Step 6: Final answer
    x = 834,933.15

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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.