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Finding the Third Proportional to 150,575.63 and 327,395.25

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Solution

The third proportional to 150,575.63 and 327,395.25 is: 711,852.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,575.63 : 327,395.25 = 327,395.25 : x
  2. Step 2: Convert to fraction form
    150,575.63/327,395.25 = 327,395.25/x
  3. Step 3: Cross multiply
    150,575.63x = 327,395.25 × 327,395.25
  4. Step 4: Simplify right side
    150,575.63x = 107,187,649,722.56
  5. Step 5: Solve for x
    x = 107,187,649,722.56/150,575.63
  6. Step 6: Final answer
    x = 711,852.60

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Why These Related Problems?

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