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Finding the Third Proportional to 158,001.75 and 345,563.44

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Solution

The third proportional to 158,001.75 and 345,563.44 is: 755,777.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,001.75 : 345,563.44 = 345,563.44 : x
  2. Step 2: Convert to fraction form
    158,001.75/345,563.44 = 345,563.44/x
  3. Step 3: Cross multiply
    158,001.75x = 345,563.44 × 345,563.44
  4. Step 4: Simplify right side
    158,001.75x = 119,414,089,336.82
  5. Step 5: Solve for x
    x = 119,414,089,336.82/158,001.75
  6. Step 6: Final answer
    x = 755,777.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.