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Finding the Third Proportional to 150,056.25 and 322,153.50

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Solution

The third proportional to 150,056.25 and 322,153.50 is: 691,626.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,056.25 : 322,153.50 = 322,153.50 : x
  2. Step 2: Convert to fraction form
    150,056.25/322,153.50 = 322,153.50/x
  3. Step 3: Cross multiply
    150,056.25x = 322,153.50 × 322,153.50
  4. Step 4: Simplify right side
    150,056.25x = 103,782,877,562.25
  5. Step 5: Solve for x
    x = 103,782,877,562.25/150,056.25
  6. Step 6: Final answer
    x = 691,626.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.