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Finding the Third Proportional to 150,340.50 and 324,006.75

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Solution

The third proportional to 150,340.50 and 324,006.75 is: 698,284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,340.50 : 324,006.75 = 324,006.75 : x
  2. Step 2: Convert to fraction form
    150,340.50/324,006.75 = 324,006.75/x
  3. Step 3: Cross multiply
    150,340.50x = 324,006.75 × 324,006.75
  4. Step 4: Simplify right side
    150,340.50x = 104,980,374,045.56
  5. Step 5: Solve for x
    x = 104,980,374,045.56/150,340.50
  6. Step 6: Final answer
    x = 698,284.06

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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.