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Finding the Third Proportional to 149,379 and 224,230.50

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Solution

The third proportional to 149,379 and 224,230.50 is: 336,588.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,379 : 224,230.50 = 224,230.50 : x
  2. Step 2: Convert to fraction form
    149,379/224,230.50 = 224,230.50/x
  3. Step 3: Cross multiply
    149,379x = 224,230.50 × 224,230.50
  4. Step 4: Simplify right side
    149,379x = 50,279,317,130.25
  5. Step 5: Solve for x
    x = 50,279,317,130.25/149,379
  6. Step 6: Final answer
    x = 336,588.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.