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Finding the Third Proportional to 177,676.88 and 383,801.63

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Solution

The third proportional to 177,676.88 and 383,801.63 is: 829,053.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,676.88 : 383,801.63 = 383,801.63 : x
  2. Step 2: Convert to fraction form
    177,676.88/383,801.63 = 383,801.63/x
  3. Step 3: Cross multiply
    177,676.88x = 383,801.63 × 383,801.63
  4. Step 4: Simplify right side
    177,676.88x = 147,303,687,352.64
  5. Step 5: Solve for x
    x = 147,303,687,352.64/177,676.88
  6. Step 6: Final answer
    x = 829,053.79

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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.