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Finding the Third Proportional to 149,684 and 224,523

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Solution

The third proportional to 149,684 and 224,523 is: 336,780.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,684 : 224,523 = 224,523 : x
  2. Step 2: Convert to fraction form
    149,684/224,523 = 224,523/x
  3. Step 3: Cross multiply
    149,684x = 224,523 × 224,523
  4. Step 4: Simplify right side
    149,684x = 50,410,577,529
  5. Step 5: Solve for x
    x = 50,410,577,529/149,684
  6. Step 6: Final answer
    x = 336,780.00

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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.