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Finding the Third Proportional to 149,450 and 224,355

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Solution

The third proportional to 149,450 and 224,355 is: 336,802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,450 : 224,355 = 224,355 : x
  2. Step 2: Convert to fraction form
    149,450/224,355 = 224,355/x
  3. Step 3: Cross multiply
    149,450x = 224,355 × 224,355
  4. Step 4: Simplify right side
    149,450x = 50,335,166,025
  5. Step 5: Solve for x
    x = 50,335,166,025/149,450
  6. Step 6: Final answer
    x = 336,802.72

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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.