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Finding the Third Proportional to 164,180.50 and 353,993

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Solution

The third proportional to 164,180.50 and 353,993 is: 763,251.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,180.50 : 353,993 = 353,993 : x
  2. Step 2: Convert to fraction form
    164,180.50/353,993 = 353,993/x
  3. Step 3: Cross multiply
    164,180.50x = 353,993 × 353,993
  4. Step 4: Simplify right side
    164,180.50x = 125,311,044,049
  5. Step 5: Solve for x
    x = 125,311,044,049/164,180.50
  6. Step 6: Final answer
    x = 763,251.69

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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.