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Finding the Third Proportional to 264,014.50 and 378,334.50

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Solution

The third proportional to 264,014.50 and 378,334.50 is: 542,155.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,014.50 : 378,334.50 = 378,334.50 : x
  2. Step 2: Convert to fraction form
    264,014.50/378,334.50 = 378,334.50/x
  3. Step 3: Cross multiply
    264,014.50x = 378,334.50 × 378,334.50
  4. Step 4: Simplify right side
    264,014.50x = 143,136,993,890.25
  5. Step 5: Solve for x
    x = 143,136,993,890.25/264,014.50
  6. Step 6: Final answer
    x = 542,155.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.