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Finding the Third Proportional to 224,249 and 337,318.50

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Solution

The third proportional to 224,249 and 337,318.50 is: 507,399.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,249 : 337,318.50 = 337,318.50 : x
  2. Step 2: Convert to fraction form
    224,249/337,318.50 = 337,318.50/x
  3. Step 3: Cross multiply
    224,249x = 337,318.50 × 337,318.50
  4. Step 4: Simplify right side
    224,249x = 113,783,770,442.25
  5. Step 5: Solve for x
    x = 113,783,770,442.25/224,249
  6. Step 6: Final answer
    x = 507,399.23

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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.