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Finding the Third Proportional to 175,003.50 and 384,999

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Solution

The third proportional to 175,003.50 and 384,999 is: 846,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,003.50 : 384,999 = 384,999 : x
  2. Step 2: Convert to fraction form
    175,003.50/384,999 = 384,999/x
  3. Step 3: Cross multiply
    175,003.50x = 384,999 × 384,999
  4. Step 4: Simplify right side
    175,003.50x = 148,224,230,001
  5. Step 5: Solve for x
    x = 148,224,230,001/175,003.50
  6. Step 6: Final answer
    x = 846,978.66

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.