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Finding the Third Proportional to 164,211.13 and 353,744.88

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Solution

The third proportional to 164,211.13 and 353,744.88 is: 762,039.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,211.13 : 353,744.88 = 353,744.88 : x
  2. Step 2: Convert to fraction form
    164,211.13/353,744.88 = 353,744.88/x
  3. Step 3: Cross multiply
    164,211.13x = 353,744.88 × 353,744.88
  4. Step 4: Simplify right side
    164,211.13x = 125,135,436,588.77
  5. Step 5: Solve for x
    x = 125,135,436,588.77/164,211.13
  6. Step 6: Final answer
    x = 762,039.94

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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.