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Finding the Third Proportional to 150,615.50 and 326,025.75

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Solution

The third proportional to 150,615.50 and 326,025.75 is: 705,722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,615.50 : 326,025.75 = 326,025.75 : x
  2. Step 2: Convert to fraction form
    150,615.50/326,025.75 = 326,025.75/x
  3. Step 3: Cross multiply
    150,615.50x = 326,025.75 × 326,025.75
  4. Step 4: Simplify right side
    150,615.50x = 106,292,789,663.06
  5. Step 5: Solve for x
    x = 106,292,789,663.06/150,615.50
  6. Step 6: Final answer
    x = 705,722.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.