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Finding the Third Proportional to 164,500.50 and 353,949

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Solution

The third proportional to 164,500.50 and 353,949 is: 761,577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,500.50 : 353,949 = 353,949 : x
  2. Step 2: Convert to fraction form
    164,500.50/353,949 = 353,949/x
  3. Step 3: Cross multiply
    164,500.50x = 353,949 × 353,949
  4. Step 4: Simplify right side
    164,500.50x = 125,279,894,601
  5. Step 5: Solve for x
    x = 125,279,894,601/164,500.50
  6. Step 6: Final answer
    x = 761,577.59

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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.