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Finding the Third Proportional to 171,775.69 and 225,883.69

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Solution

The third proportional to 171,775.69 and 225,883.69 is: 297,035.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,775.69 : 225,883.69 = 225,883.69 : x
  2. Step 2: Convert to fraction form
    171,775.69/225,883.69 = 225,883.69/x
  3. Step 3: Cross multiply
    171,775.69x = 225,883.69 × 225,883.69
  4. Step 4: Simplify right side
    171,775.69x = 51,023,440,278.60
  5. Step 5: Solve for x
    x = 51,023,440,278.60/171,775.69
  6. Step 6: Final answer
    x = 297,035.28

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.