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Finding the Third Proportional to 224,915 and 336,733

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Solution

The third proportional to 224,915 and 336,733 is: 504,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,915 : 336,733 = 336,733 : x
  2. Step 2: Convert to fraction form
    224,915/336,733 = 336,733/x
  3. Step 3: Cross multiply
    224,915x = 336,733 × 336,733
  4. Step 4: Simplify right side
    224,915x = 113,389,113,289
  5. Step 5: Solve for x
    x = 113,389,113,289/224,915
  6. Step 6: Final answer
    x = 504,142.07

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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.