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Finding the Third Proportional to 164,455.31 and 354,288.94

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Solution

The third proportional to 164,455.31 and 354,288.94 is: 763,250.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,455.31 : 354,288.94 = 354,288.94 : x
  2. Step 2: Convert to fraction form
    164,455.31/354,288.94 = 354,288.94/x
  3. Step 3: Cross multiply
    164,455.31x = 354,288.94 × 354,288.94
  4. Step 4: Simplify right side
    164,455.31x = 125,520,651,234.88
  5. Step 5: Solve for x
    x = 125,520,651,234.88/164,455.31
  6. Step 6: Final answer
    x = 763,250.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.