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Finding the Third Proportional to 164,236.50 and 354,107.25

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Solution

The third proportional to 164,236.50 and 354,107.25 is: 763,484.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,236.50 : 354,107.25 = 354,107.25 : x
  2. Step 2: Convert to fraction form
    164,236.50/354,107.25 = 354,107.25/x
  3. Step 3: Cross multiply
    164,236.50x = 354,107.25 × 354,107.25
  4. Step 4: Simplify right side
    164,236.50x = 125,391,944,502.56
  5. Step 5: Solve for x
    x = 125,391,944,502.56/164,236.50
  6. Step 6: Final answer
    x = 763,484.03

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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.