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Finding the Third Proportional to 150,615.75 and 326,029.50

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Solution

The third proportional to 150,615.75 and 326,029.50 is: 705,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,615.75 : 326,029.50 = 326,029.50 : x
  2. Step 2: Convert to fraction form
    150,615.75/326,029.50 = 326,029.50/x
  3. Step 3: Cross multiply
    150,615.75x = 326,029.50 × 326,029.50
  4. Step 4: Simplify right side
    150,615.75x = 106,295,234,870.25
  5. Step 5: Solve for x
    x = 106,295,234,870.25/150,615.75
  6. Step 6: Final answer
    x = 705,737.85

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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.