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Finding the Third Proportional to 164,404.50 and 357,003

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Solution

The third proportional to 164,404.50 and 357,003 is: 775,229.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,404.50 : 357,003 = 357,003 : x
  2. Step 2: Convert to fraction form
    164,404.50/357,003 = 357,003/x
  3. Step 3: Cross multiply
    164,404.50x = 357,003 × 357,003
  4. Step 4: Simplify right side
    164,404.50x = 127,451,142,009
  5. Step 5: Solve for x
    x = 127,451,142,009/164,404.50
  6. Step 6: Final answer
    x = 775,229.04

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.